List of pitch intervals - Wikipedia

Cents Note (from C) Freq. ratio Prime factors Interval name TET Limit M S

0.00

C^[2] 1 : 1 1 : 1 play^ⓘ Unison,^[3] monophony,^[4] perfect prime,^[3] tonic,^[5] or fundamental 1, 12 3 M

0.03

65537 : 65536 65537 : 2¹⁶ play^ⓘ Sixty-five-thousand-five-hundred-thirty-seventh harmonic 65537 S

0.40

C♯− 4375 : 4374 5⁴×7 : 2×3⁷ play^ⓘ Ragisma^[3][6] 7 S

0.72

E+ 2401 : 2400 7⁴ : 2⁵×3×5² play^ⓘ Breedsma^[3][6] 7 S

1.00

2^1/1200 2^1/1200 play^ⓘ Cent^[7] 1200

1.20

2^1/1000 2^1/1000 play^ⓘ Millioctave 1000

1.95

B♯++ 32805 : 32768 3⁸×5 : 2¹⁵ play^ⓘ Schisma^[3][5] 5

1.96

3:2÷(2^7/12) 3 : 2^19/12 Grad, Werckmeister^[8]

3.99

10^1/1000 2^1/1000×5^1/1000 play^ⓘ Savart or eptaméride 301.03

7.71

B♯ 225 : 224 3²×5² : 2⁵×7 play^ⓘ Septimal kleisma,^[3][6] marvel comma 7 S

8.11

B− 15625 : 15552 5⁶ : 2⁶×3⁵ play^ⓘ Kleisma or semicomma majeur^[3][6] 5

10.06

A++ 2109375 : 2097152 3³×5⁷ : 2²¹ play^ⓘ Semicomma,^[3][6] Fokker's comma^[3] 5

10.85

C 160 : 159 2⁵×5 : 3×53 play^ⓘ Difference between 5:3 & 53:32 53 S

11.98

C 145 : 144 5×29 : 2⁴×3² play^ⓘ Difference between 29:16 & 9:5 29 S

12.50

2^1/96 2^1/96 play^ⓘ Sixteenth tone 96

13.07

B− 1728 : 1715 2⁶×3³ : 5×7³ play^ⓘ Orwell comma^[3][9] 7

13.47

C 129 : 128 3×43 : 2⁷ play^ⓘ Hundred-twenty-ninth harmonic 43 S

13.79

D 126 : 125 2×3²×7 : 5³ play^ⓘ Small septimal semicomma,^[6] small septimal comma,^[3] starling comma 7 S

14.37

C♭↑↑− 121 : 120 11² : 2³×3×5 play^ⓘ Undecimal seconds comma^[3] 11 S

16.67

C↑^[a] 2^1/72 2^1/72 play^ⓘ 1 step in 72 equal temperament 72

18.13

C 96 : 95 2⁵×3 : 5×19 play^ⓘ Difference between 19:16 & 6:5 19 S

19.55

D--^[2] 2048 : 2025 2¹¹ : 3⁴×5² play^ⓘ Diaschisma,^[3][6] minor comma 5

21.51

C+^[2] 81 : 80 3⁴ : 2⁴×5 play^ⓘ Syntonic comma,^[3][5][6] major comma, komma, chromatic diesis, or comma of Didymus^{[3][6][10][11]} 5 S

22.64

2^1/53 2^1/53 play^ⓘ Holdrian comma, Holder's comma, 1 step in 53 equal temperament 53

23.46

B♯+++ 531441 : 524288 3¹² : 2¹⁹ play^ⓘ Pythagorean comma,^{[3][5][6][10][11]} ditonic comma^[3][6] 3

25.00

2^1/48 2^1/48 play^ⓘ Eighth tone 48

26.84

C 65 : 64 5×13 : 2⁶ play^ⓘ Sixty-fifth harmonic,^[5] 13th-partial chroma^[3] 13 S

27.26

C− 64 : 63 2⁶ : 3²×7 play^ⓘ Septimal comma,^[3][6][11] Archytas' comma,^[3] 63rd subharmonic 7 S

29.27

2^1/41 2^1/41 play^ⓘ 1 step in 41 equal temperament 41

31.19

D♭↓ 56 : 55 2³×7 : 5×11 play^ⓘ Undecimal diesis,^[3] Ptolemy's enharmonic:^[5] difference between (11 : 8) and (7 : 5) tritone 11 S

33.33

C/D♭^[a] 2^1/36 2^1/36 play^ⓘ Sixth tone 36, 72

34.28

C 51 : 50 3×17 : 2×5² play^ⓘ Difference between 17:16 & 25:24 17 S

34.98

B♯- 50 : 49 2×5² : 7² play^ⓘ Septimal sixth tone or jubilisma, Erlich's decatonic comma or tritonic diesis^[3][6] 7 S

35.70

D♭ 49 : 48 7² : 2⁴×3 play^ⓘ Septimal diesis, slendro diesis or septimal 1/6-tone^[3] 7 S

38.05

C 46 : 45 2×23 : 3²×5 play^ⓘ Inferior quarter tone,^[5] difference between 23:16 & 45:32 23 S

38.71

2^1/31 2^1/31 play^ⓘ 1 step in 31 equal temperament or Normal Diesis 31

38.91

C↓♯+ 45 : 44 3²×5 : 4×11 play^ⓘ Undecimal diesis or undecimal fifth tone 11 S

40.00

2^1/30 2^1/30 play^ⓘ Fifth tone 30

41.06

D− 128 : 125 2⁷ : 5³ play^ⓘ Enharmonic diesis or 5-limit limma, minor diesis,^[6] diminished second,^[5][6] minor diesis or diesis,^[3] 125th subharmonic 5

41.72

D♭ 42 : 41 2×3×7 : 41 play^ⓘ Lesser 41-limit fifth tone 41 S

42.75

C 41 : 40 41 : 2³×5 play^ⓘ Greater 41-limit fifth tone 41 S

43.83

C♯ 40 : 39 2³×5 : 3×13 play^ⓘ Tridecimal fifth tone 13 S

44.97

C 39 : 38 3×13 : 2×19 play^ⓘ Superior quarter-tone,^[5] novendecimal fifth tone 19 S

46.17

D- 38 : 37 2×19 : 37 play^ⓘ Lesser 37-limit quarter tone 37 S

47.43

C♯ 37 : 36 37 : 2²×3² play^ⓘ Greater 37-limit quarter tone 37 S

48.77

C 36 : 35 2²×3² : 5×7 play^ⓘ Septimal quarter tone, septimal diesis,^[3][6] septimal chroma,^[2] superior quarter tone^[5] 7 S

49.98

246 : 239 3×41 : 239 play^ⓘ Just quarter tone^[11] 239

50.00

C/D 2^1/24 2^1/24 play^ⓘ Equal-tempered quarter tone 24

50.18

D♭ 35 : 34 5×7 : 2×17 play^ⓘ ET quarter-tone approximation,^[5] lesser 17-limit quarter tone 17 S

50.72

B♯++ 59049 : 57344 3¹⁰ : 2¹³×7 play^ⓘ Harrison's comma (10 P5s – 1 H7)^[3] 7

51.68

C↓♯ 34 : 33 2×17 : 3×11 play^ⓘ Greater 17-limit quarter tone 17 S

53.27

C↑ 33 : 32 3×11 : 2⁵ play^ⓘ Thirty-third harmonic,^[5] undecimal comma, undecimal quarter tone 11 S

54.96

D♭- 32 : 31 2⁵ : 31 play^ⓘ Inferior quarter-tone,^[5] thirty-first subharmonic 31 S

56.55

B♯+ 529 : 512 23² : 2⁹ play^ⓘ Five-hundred-twenty-ninth harmonic 23

56.77

C 31 : 30 31 : 2×3×5 play^ⓘ Greater quarter-tone,^[5] difference between 31:16 & 15:8 31 S

58.69

C♯ 30 : 29 2×3×5 : 29 play^ⓘ Lesser 29-limit quarter tone 29 S

60.75

C 29 : 28 29 : 2²×7 play^ⓘ Greater 29-limit quarter tone 29 S

62.96

D♭- 28 : 27 2²×7 : 3³ play^ⓘ Septimal minor second, small minor second, inferior quarter tone^[5] 7 S

63.81

(3 : 2)^1/11 3^1/11 : 2^1/11 play^ⓘ Beta scale step 18.80

65.34

C♯+ 27 : 26 3³ : 2×13 play^ⓘ Chromatic diesis,^[12] tridecimal comma^[3] 13 S

66.34

D♭ 133 : 128 7×19 : 2⁷ play^ⓘ One-hundred-thirty-third harmonic 19

66.67

C↑/C♯^[a] 2^1/18 2^1/18 play^ⓘ Third tone 18, 36, 72

67.90

D- 26 : 25 2×13 : 5² play^ⓘ Tridecimal third tone, third tone^[5] 13 S

70.67

C♯^[2] 25 : 24 5² : 2³×3 play^ⓘ Just chromatic semitone or minor chroma,^[3] lesser chromatic semitone, small (just) semitone^[11] or minor second,^[4] minor chromatic semitone,^[13] or minor semitone,^[5] 2⁄7-comma meantone chromatic semitone, augmented unison 5 S

73.68

D♭- 24 : 23 2³×3 : 23 play^ⓘ Lesser 23-limit semitone 23 S

75.00

2^1/16 2^3/48 play^ⓘ 1 step in 16 equal temperament, 3 steps in 48 16, 48

76.96

C↓♯+ 23 : 22 23 : 2×11 play^ⓘ Greater 23-limit semitone 23 S

78.00

(3 : 2)^1/9 3^1/9 : 2^1/9 play^ⓘ Alpha scale step 15.39

79.31

67 : 64 67 : 2⁶ play^ⓘ Sixty-seventh harmonic^[5] 67

80.54

C↑- 22 : 21 2×11 : 3×7 play^ⓘ Hard semitone,^[5] two-fifth tone small semitone 11 S

84.47

D♭ 21 : 20 3×7 : 2²×5 play^ⓘ Septimal chromatic semitone, minor semitone^[3] 7 S

88.80

C♯ 20 : 19 2²×5 : 19 play^ⓘ Novendecimal augmented unison 19 S

90.22

D♭−−^[2] 256 : 243 2⁸ : 3⁵ play^ⓘ Pythagorean minor second or limma,^[3][6][11] Pythagorean diatonic semitone, Low Semitone^[14] 3

92.18

C♯+^[2] 135 : 128 3³×5 : 2⁷ play^ⓘ Greater chromatic semitone, chromatic semitone, semitone medius, major chroma or major limma,^[3] small limma,^[11] major chromatic semitone,^[13] limma ascendant^[5] 5

93.60

D♭- 19 : 18 19 : 2×3² Novendecimal minor secondplay^ⓘ 19 S

97.36

D↓↓ 128 : 121 2⁷ : 11² play^ⓘ 121st subharmonic,^[5][6] undecimal minor second 11

98.95

D♭ 18 : 17 2×3² : 17 play^ⓘ Just minor semitone, Arabic lute index finger^[3] 17 S

100.00

C♯/D♭ 2^1/12 2^1/12 play^ⓘ Equal-tempered minor second or semitone 12 M

104.96

C♯^[2] 17 : 16 17 : 2⁴ play^ⓘ Minor diatonic semitone, just major semitone, overtone semitone,^[5] 17th harmonic,^[3] limma^{[citation needed]} 17 S

111.45

²⁵√5 (5 : 1)^1/25 play^ⓘ Studie II interval (compound just major third, 5:1, divided into 25 equal parts) 10.77

111.73

D♭-^[2] 16 : 15 2⁴ : 3×5 play^ⓘ Just minor second,^[15] just diatonic semitone, large just semitone or major second,^[4] major semitone,^[5] limma, minor diatonic semitone,^[3] diatonic second^[16] semitone,^[14] diatonic semitone,^[11] 1⁄6-comma meantone minor second 5 S

113.69

C♯++ 2187 : 2048 3⁷ : 2¹¹ play^ⓘ Apotome^[3][11] or Pythagorean major semitone,^[6] Pythagorean augmented unison, Pythagorean chromatic semitone, or Pythagorean apotome 3

116.72

(18 : 5)^1/19 2^1/19×3^2/19 : 5^1/19 play^ⓘ Secor 10.28

119.44

C♯ 15 : 14 3×5 : 2×7 play^ⓘ Septimal diatonic semitone, major diatonic semitone,^[3] Cowell semitone^[5] 7 S

125.00

2^5/48 2^5/48 play^ⓘ 5 steps in 48 equal temperament 48

128.30

D 14 : 13 2×7 : 13 play^ⓘ Lesser tridecimal 2/3-tone^[17] 13 S

130.23

C♯+ 69 : 64 3×23 : 2⁶ play^ⓘ Sixty-ninth harmonic^[5] 23

133.24

D♭ 27 : 25 3³ : 5² play^ⓘ Semitone maximus, minor second, large limma or Bohlen-Pierce small semitone,^[3] high semitone,^[14] alternate Renaissance half-step,^[5] large limma, acute minor second^{[citation needed]} 5

133.33

C♯/D♭^[a] 2^1/9 2^2/18 play^ⓘ Two-third tone 9, 18, 36, 72

138.57

D♭- 13 : 12 13 : 2²×3 play^ⓘ Greater tridecimal 2/3-tone,^[17] Three-quarter tone^[5] 13 S

150.00

C/D 2^3/24 2^1/8 play^ⓘ Equal-tempered neutral second 8, 24

150.64

D↓^[2] 12 : 11 2²×3 : 11 play^ⓘ 3⁄4 tone or Undecimal neutral second,^[3][5] trumpet three-quarter tone,^[11] middle finger [between frets]^[14] 11 S

155.14

D 35 : 32 5×7 : 2⁵ play^ⓘ Thirty-fifth harmonic^[5] 7

160.90

D−− 800 : 729 2⁵×5² : 3⁶ play^ⓘ Grave whole tone,^[3] neutral second, grave major second^{[citation needed]} 5

165.00

D↑♭−^[2] 11 : 10 11 : 2×5 play^ⓘ Greater undecimal minor/major/neutral second, 4/5-tone^[6] or Ptolemy's second^[3] 11 S

171.43

2^1/7 2^1/7 play^ⓘ 1 step in 7 equal temperament 7

175.00

2^7/48 2^7/48 play^ⓘ 7 steps in 48 equal temperament 48

179.70

71 : 64 71 : 2⁶ play^ⓘ Seventy-first harmonic^[5] 71

180.45

E−−− 65536 : 59049 2¹⁶ : 3¹⁰ play^ⓘ Pythagorean diminished third,^[3][6] Pythagorean minor tone 3

182.40

D−^[2] 10 : 9 2×5 : 3² play^ⓘ Small just whole tone or major second,^[4] minor whole tone,^[3][5] lesser whole tone,^[16] minor tone,^[14] minor second,^[11] half-comma meantone major second 5 S

200.00

D 2^2/12 2^1/6 play^ⓘ Equal-tempered major second 6, 12 M

203.91

D^[2] 9 : 8 3² : 2³ play^ⓘ Pythagorean major second, Large just whole tone or major second^[11] (sesquioctavan),^[4] tonus, major whole tone,^[3][5] greater whole tone,^[16] major tone^[14] 3 S

215.89

D 145 : 128 5×29 : 2⁷ play^ⓘ Hundred-forty-fifth harmonic 29

223.46

E−^[2] 256 : 225 2⁸ : 3²×5² play^ⓘ Just diminished third,^[16] 225th subharmonic 5

225.00

2^3/16 2^9/48 play^ⓘ 9 steps in 48 equal temperament 16, 48

227.79

73 : 64 73 : 2⁶ play^ⓘ Seventy-third harmonic^[5] 73

231.17

D−^[2] 8 : 7 2³ : 7 play^ⓘ Septimal major second,^[4] septimal whole tone^[3][5] 7 S

240.00

2^1/5 2^1/5 play^ⓘ 1 step in 5 equal temperament 5

247.74

D♯ 15 : 13 3×5 : 13 play^ⓘ Tridecimal 5⁄4 tone^[3] 13

250.00

D/E 2^5/24 2^5/24 play^ⓘ 5 steps in 24 equal temperament 24

251.34

D♯ 37 : 32 37 : 2⁵ play^ⓘ Thirty-seventh harmonic^[5] 37

253.08

D♯− 125 : 108 5³ : 2²×3³ play^ⓘ Semi-augmented whole tone,^[3] semi-augmented second^{[citation needed]} 5

262.37

E↓♭ 64 : 55 2⁶ : 5×11 play^ⓘ 55th subharmonic^[5][6] 11

266.87

E♭^[2] 7 : 6 7 : 2×3 play^ⓘ Septimal minor third^[3][4][11] or Sub minor third^[14] 7 S

268.80

D 299 : 256 13×23 : 2⁸ play^ⓘ Two-hundred-ninety-ninth harmonic 23

274.58

D♯^[2] 75 : 64 3×5² : 2⁶ play^ⓘ Just augmented second,^[16] Augmented tone,^[14] augmented second^[5][13] 5

275.00

2^11/48 2^11/48 play^ⓘ 11 steps in 48 equal temperament 48

289.21

E↓♭ 13 : 11 13 : 11 play^ⓘ Tridecimal minor third^[3] 13

294.13

E♭−^[2] 32 : 27 2⁵ : 3³ play^ⓘ Pythagorean minor third^{[3][5][6][14][16]} semiditone, or 27th subharmonic 3

297.51

E♭^[2] 19 : 16 19 : 2⁴ play^ⓘ 19th harmonic,^[3] 19-limit minor third, overtone minor third^[5] 19

300.00

D♯/E♭ 2^3/12 2^1/4 play^ⓘ Equal-tempered minor third 4, 12 M

301.85

D♯- 25 : 21^[5] 5² : 3×7 play^ⓘ Quasi-equal-tempered minor third, 2nd 7-limit minor third, Bohlen-Pierce second^[3][6] 7

310.26

6:5÷(81:80)^1/4 2² : 5^3/4 play^ⓘ Quarter-comma meantone minor third M

311.98

(3 : 2)^4/9 3^4/9 : 2^4/9 play^ⓘ Alpha scale minor third 15.39

315.64

E♭^[2] 6 : 5 2×3 : 5 play^ⓘ Just minor third,^{[3][4][5][11][16]} minor third,^[14] 1⁄3-comma meantone minor third 5 M S

317.60

D♯++ 19683 : 16384 3⁹ : 2¹⁴ play^ⓘ Pythagorean augmented second^[3][6] 3

320.14

E♭↑ 77 : 64 7×11 : 2⁶ play^ⓘ Seventy-seventh harmonic^[5] 11

325.00

2^13/48 2^13/48 play^ⓘ 13 steps in 48 equal temperament 48

336.13

D♯- 17 : 14 17 : 2×7 play^ⓘ Superminor third^[18] 17

337.15

E♭+ 243 : 200 3⁵ : 2³×5² play^ⓘ Acute minor third^[3] 5

342.48

E♭ 39 : 32 3×13 : 2⁵ play^ⓘ Thirty-ninth harmonic^[5] 13

342.86

2^2/7 2^2/7 play^ⓘ 2 steps in 7 equal temperament 7

342.91

E♭- 128 : 105 2⁷ : 3×5×7 play^ⓘ 105th subharmonic,^[5] septimal neutral third^[6] 7

347.41

E↑♭−^[2] 11 : 9 11 : 3² play^ⓘ Undecimal neutral third^[3][5] 11

350.00

D/E 2^7/24 2^7/24 play^ⓘ Equal-tempered neutral third 24

354.55

E↓+ 27 : 22 3³ : 2×11 play^ⓘ Zalzal's wosta^[6] 12:11 X 9:8^[14] 11

359.47

E^[2] 16 : 13 2⁴ : 13 play^ⓘ Tridecimal neutral third^[3] 13

364.54

79 : 64 79 : 2⁶ play^ⓘ Seventy-ninth harmonic^[5] 79

364.81

E− 100 : 81 2²×5² : 3⁴ play^ⓘ Grave major third^[3] 5

375.00

2^5/16 2^15/48 play^ⓘ 15 steps in 48 equal temperament 16, 48

384.36

F♭−− 8192 : 6561 2¹³ : 3⁸ play^ⓘ Pythagorean diminished fourth,^[3][6] Pythagorean 'schismatic' third^[5] 3

386.31

E^[2] 5 : 4 5 : 2² play^ⓘ Just major third,^{[3][4][5][11][16]} major third,^[14] quarter-comma meantone major third 5 M S

397.10

E+ 161 : 128 7×23 : 2⁷ play^ⓘ One-hundred-sixty-first harmonic 23

400.00

E 2^4/12 2^1/3 play^ⓘ Equal-tempered major third 3, 12 M

402.47

E 323 : 256 17×19 : 2⁸ play^ⓘ Three-hundred-twenty-third harmonic 19

407.82

E+^[2] 81 : 64 3⁴ : 2⁶ play^ⓘ Pythagorean major third,^{[3][5][6][14][16]} ditone 3

417.51

F↓+^[2] 14 : 11 2×7 : 11 play^ⓘ Undecimal diminished fourth or major third^[3] 11

425.00

2^17/48 2^17/48 play^ⓘ 17 steps in 48 equal temperament 48

427.37

F♭^[2] 32 : 25 2⁵ : 5² play^ⓘ Just diminished fourth,^[16] diminished fourth,^[5][13] 25th subharmonic 5

429.06

E 41 : 32 41 : 2⁵ play^ⓘ Forty-first harmonic^[5] 41

435.08

E^[2] 9 : 7 3² : 7 play^ⓘ Septimal major third,^[3][5] Bohlen-Pierce third,^[3] Super major Third^[14] 7

444.77

F↓ 128 : 99 2⁷ : 3²×11 play^ⓘ 99th subharmonic^[5][6] 11

450.00

E/F 2^9/24 2^9/24 play^ⓘ 9 steps in 24 equal temperament 8, 24

450.05

83 : 64 83 : 2⁶ play^ⓘ Eighty-third harmonic^[5] 83

454.21

F♭ 13 : 10 13 : 2×5 play^ⓘ Tridecimal major third or diminished fourth 13

456.99

E♯^[2] 125 : 96 5³ : 2⁵×3 play^ⓘ Just augmented third, augmented third^[5] 5

462.35

E- 64 : 49 2⁶ : 7² play^ⓘ 49th subharmonic^[5][6] 7

470.78

F+^[2] 21 : 16 3×7 : 2⁴ play^ⓘ Twenty-first harmonic, narrow fourth,^[3] septimal fourth,^[5] wide augmented third,^{[citation needed]} H7 on G 7

475.00

2^19/48 2^19/48 play^ⓘ 19 steps in 48 equal temperament 48

478.49

E♯+ 675 : 512 3³×5² : 2⁹ play^ⓘ Six-hundred-seventy-fifth harmonic, wide augmented third^[3] 5

480.00

2^2/5 2^2/5 play^ⓘ 2 steps in 5 equal temperament 5

491.27

E♯ 85 : 64 5×17 : 2⁶ play^ⓘ Eighty-fifth harmonic^[5] 17

498.04

F^[2] 4 : 3 2² : 3 play^ⓘ Perfect fourth,^[3][5][16] Pythagorean perfect fourth, Just perfect fourth or diatessaron^[4] 3 S

500.00

F 2^5/12 2^5/12 play^ⓘ Equal-tempered perfect fourth 12 M

501.42

F+ 171 : 128 3²×19 : 2⁷ play^ⓘ One-hundred-seventy-first harmonic 19

510.51

(3 : 2)^8/11 3^8/11 : 2^8/11 play^ⓘ Beta scale perfect fourth 18.80

511.52

F 43 : 32 43 : 2⁵ play^ⓘ Forty-third harmonic^[5] 43

514.29

2^3/7 2^3/7 play^ⓘ 3 steps in 7 equal temperament 7

519.55

F+^[2] 27 : 20 3³ : 2²×5 play^ⓘ 5-limit wolf fourth, acute fourth,^[3] imperfect fourth^[16] 5

521.51

E♯+++ 177147 : 131072 3¹¹ : 2¹⁷ play^ⓘ Pythagorean augmented third^[3][6] (F+ (pitch)) 3

525.00

2^7/16 2^21/48 play^ⓘ 21 steps in 48 equal temperament 16, 48

531.53

F+ 87 : 64 3×29 : 2⁶ play^ⓘ Eighty-seventh harmonic^[5] 29

536.95

F↓♯+ 15 : 11 3×5 : 11 play^ⓘ Undecimal augmented fourth^[3] 11

550.00

F/G 2^11/24 2^11/24 play^ⓘ 11 steps in 24 equal temperament 24

551.32

F↑^[2] 11 : 8 11 : 2³ play^ⓘ eleventh harmonic,^[5] undecimal tritone,^[5] lesser undecimal tritone, undecimal semi-augmented fourth^[3] 11

563.38

F♯+ 18 : 13 2×9 : 13 play^ⓘ Tridecimal augmented fourth^[3] 13

568.72

F♯^[2] 25 : 18 5² : 2×3² play^ⓘ Just augmented fourth^[3][5] 5

570.88

89 : 64 89 : 2⁶ play^ⓘ Eighty-ninth harmonic^[5] 89

575.00

2^23/48 2^23/48 play^ⓘ 23 steps in 48 equal temperament 48

582.51

G♭^[2] 7 : 5 7 : 5 play^ⓘ Lesser septimal tritone, septimal tritone^[3][4][5] Huygens' tritone or Bohlen-Pierce fourth,^[3] septimal fifth,^[11] septimal diminished fifth^[19] 7

588.27

G♭−− 1024 : 729 2¹⁰ : 3⁶ play^ⓘ Pythagorean diminished fifth,^[3][6] low Pythagorean tritone^[5] 3

590.22

F♯+^[2] 45 : 32 3²×5 : 2⁵ play^ⓘ Just augmented fourth, just tritone,^[4][11] tritone,^[6] diatonic tritone,^[3] 'augmented' or 'false' fourth,^[16] high 5-limit tritone,^[5] 1⁄6-comma meantone augmented fourth 5

595.03

G♭ 361 : 256 19² : 2⁸ play^ⓘ Three-hundred-sixty-first harmonic 19

600.00

F♯/G♭ 2^6/12 2^1/2=√2 play^ⓘ Equal-tempered tritone 2, 12 M

609.35

G♭ 91 : 64 7×13 : 2⁶ play^ⓘ Ninety-first harmonic^[5] 13

609.78

G♭−^[2] 64 : 45 2⁶ : 3²×5 play^ⓘ Just tritone,^[4] 2nd tritone,^[6] 'false' fifth,^[16] diminished fifth,^[13] low 5-limit tritone,^[5] 45th subharmonic 5

611.73

F♯++ 729 : 512 3⁶ : 2⁹ play^ⓘ Pythagorean tritone,^[3][6] Pythagorean augmented fourth, high Pythagorean tritone^[5] 3

617.49

F♯^[2] 10 : 7 2×5 : 7 play^ⓘ Greater septimal tritone, septimal tritone,^[4][5] Euler's tritone^[3] 7

625.00

2^25/48 2^25/48 play^ⓘ 25 steps in 48 equal temperament 48

628.27

F♯+ 23 : 16 23 : 2⁴ play^ⓘ Twenty-third harmonic,^[5] classic diminished fifth^{[citation needed]} 23

631.28

G♭^[2] 36 : 25 2²×3² : 5² play^ⓘ Just diminished fifth^[5] 5

646.99

F♯+ 93 : 64 3×31 : 2⁶ play^ⓘ Ninety-third harmonic^[5] 31

648.68

G↓^[2] 16 : 11 2⁴ : 11 play^ⓘ ` undecimal semi-diminished fifth^[3] 11

650.00

F/G 2^13/24 2^13/24 play^ⓘ 13 steps in 24 equal temperament 24

665.51

G 47 : 32 47 : 2⁵ play^ⓘ Forty-seventh harmonic^[5] 47

675.00

2^9/16 2^27/48 play^ⓘ 27 steps in 48 equal temperament 16, 48

678.49

A−−− 262144 : 177147 2¹⁸ : 3¹¹ play^ⓘ Pythagorean diminished sixth^[3][6] 3

680.45

G− 40 : 27 2³×5 : 3³ play^ⓘ 5-limit wolf fifth,^[5] or diminished sixth, grave fifth,^[3][6][11] imperfect fifth,^[16] 5

683.83

G 95 : 64 5×19 : 2⁶ play^ⓘ Ninety-fifth harmonic^[5] 19

684.82

E++ 12167 : 8192 23³ : 2¹³ play^ⓘ 12167th harmonic 23

685.71

2^4/7 : 1 play^ⓘ 4 steps in 7 equal temperament 7

691.20

3:2÷(81:80)^1/2 2×5^1/2 : 3 play^ⓘ Half-comma meantone perfect fifth M

694.79

3:2÷(81:80)^1/3 2^1/3×5^1/3 : 3^1/3 play^ⓘ 1⁄3-comma meantone perfect fifth M

695.81

3:2÷(81:80)^2/7 2^1/7×5^2/7 : 3^1/7 play^ⓘ 2⁄7-comma meantone perfect fifth M

696.58

3:2÷(81:80)^1/4 5^1/4 play^ⓘ Quarter-comma meantone perfect fifth M

697.65

3:2÷(81:80)^1/5 3^1/5×5^1/5 : 2^1/5 play^ⓘ 1⁄5-comma meantone perfect fifth M

698.37

3:2÷(81:80)^1/6 3^1/3×5^1/6 : 2^1/3 play^ⓘ 1⁄6-comma meantone perfect fifth M

700.00

G 2^7/12 2^7/12 play^ⓘ Equal-tempered perfect fifth 12 M

701.89

2^31/53 2^31/53 play^ⓘ 53-TET perfect fifth 53

701.96

G^[2] 3 : 2 3 : 2 play^ⓘ Perfect fifth,^[3][5][16] Pythagorean perfect fifth, Just perfect fifth or diapente,^[4] fifth,^[14] Just fifth^[11] 3 S

702.44

2^24/41 2^24/41 play^ⓘ 41-TET perfect fifth 41

703.45

2^17/29 2^17/29 play^ⓘ 29-TET perfect fifth 29

719.90

97 : 64 97 : 2⁶ play^ⓘ Ninety-seventh harmonic^[5] 97

720.00

2^3/5 : 1 play^ⓘ 3 steps in 5 equal temperament 5

721.51

A− 1024 : 675 2¹⁰ : 3³×5² play^ⓘ Narrow diminished sixth^[3] 5

725.00

2^29/48 2^29/48 play^ⓘ 29 steps in 48 equal temperament 48

729.22

G- 32 : 21 2⁴ : 3×7 play^ⓘ 21st subharmonic,^[5][6] septimal diminished sixth 7

733.23

F+ 391 : 256 17×23 : 2⁸ play^ⓘ Three-hundred-ninety-first harmonic 23

737.65

A♭+ 49 : 32 7×7 : 2⁵ play^ⓘ Forty-ninth harmonic^[5] 7

743.01

A 192 : 125 2⁶×3 : 5³ play^ⓘ Classic diminished sixth^[3] 5

750.00

G/A 2^15/24 2^15/24 play^ⓘ 15 steps in 24 equal temperament 8, 24

755.23

G↑ 99 : 64 3²×11 : 2⁶ play^ⓘ Ninety-ninth harmonic^[5] 11

764.92

A♭^[2] 14 : 9 2×7 : 3² play^ⓘ Septimal minor sixth^[3][5] 7

772.63

G♯ 25 : 16 5² : 2⁴ play^ⓘ Just augmented fifth^[5][16] 5

775.00

2^31/48 2^31/48 play^ⓘ 31 steps in 48 equal temperament 48

781.79

π : 2 play^ⓘ Wallis product

782.49

G↑-^[2] 11 : 7 11 : 7 play^ⓘ Undecimal minor sixth,^[5] undecimal augmented fifth,^[3] Fibonacci numbers 11

789.85

101 : 64 101 : 2⁶ play^ⓘ Hundred-first harmonic^[5] 101

792.18

A♭−^[2] 128 : 81 2⁷ : 3⁴ play^ⓘ Pythagorean minor sixth,^[3][5][6] 81st subharmonic 3

798.40

A♭+ 203 : 128 7×29 : 2⁷ play^ⓘ Two-hundred-third harmonic 29

800.00

G♯/A♭ 2^8/12 2^2/3 play^ⓘ Equal-tempered minor sixth 3, 12 M

806.91

G♯ 51 : 32 3×17 : 2⁵ play^ⓘ Fifty-first harmonic^[5] 17

813.69

A♭^[2] 8 : 5 2³ : 5 play^ⓘ Just minor sixth^{[3][4][11][16]} 5

815.64

G♯++ 6561 : 4096 3⁸ : 2¹² play^ⓘ Pythagorean augmented fifth,^[3][6] Pythagorean 'schismatic' sixth^[5] 3

823.80

103 : 64 103 : 2⁶ play^ⓘ Hundred-third harmonic^[5] 103

825.00

2^11/16 2^33/48 play^ⓘ 33 steps in 48 equal temperament 16, 48

832.18

G♯+ 207 : 128 3²×23 : 2⁷ play^ⓘ Two-hundred-seventh harmonic 23

833.09

(5^1/2+1)/2 φ : 1 play^ⓘ Golden ratio (833 cents scale)

835.19

A♭+ 81 : 50 3⁴ : 2×5² play^ⓘ Acute minor sixth^[3] 5

840.53

A♭^[2] 13 : 8 13 : 2³ play^ⓘ Tridecimal neutral sixth,^[3] overtone sixth,^[5] thirteenth harmonic 13

848.83

A♭↑ 209 : 128 11×19 : 2⁷ play^ⓘ Two-hundred-ninth harmonic 19

850.00

G/A 2^17/24 2^17/24 play^ⓘ Equal-tempered neutral sixth 24

852.59

A↓+^[2] 18 : 11 2×3² : 11 play^ⓘ Undecimal neutral sixth,^[3][5] Zalzal's neutral sixth 11

857.09

A+ 105 : 64 3×5×7 : 2⁶ play^ⓘ Hundred-fifth harmonic^[5] 7

857.14

2^5/7 2^5/7 play^ⓘ 5 steps in 7 equal temperament 7

862.85

A− 400 : 243 2⁴×5² : 3⁵ play^ⓘ Grave major sixth^[3] 5

873.50

A 53 : 32 53 : 2⁵ play^ⓘ Fifty-third harmonic^[5] 53

875.00

2^35/48 2^35/48 play^ⓘ 35 steps in 48 equal temperament 48

879.86

A↓ 128 : 77 2⁷ : 7×11 play^ⓘ 77th subharmonic^[5][6] 11

882.40

B−−− 32768 : 19683 2¹⁵ : 3⁹ play^ⓘ Pythagorean diminished seventh^[3][6] 3

884.36

A^[2] 5 : 3 5 : 3 play^ⓘ Just major sixth,^{[3][4][5][11][16]} Bohlen-Pierce sixth,^[3] 1⁄3-comma meantone major sixth 5 M

889.76

107 : 64 107 : 2⁶ play^ⓘ Hundred-seventh harmonic^[5] 107

892.54

B 6859 : 4096 19³ : 2¹² play^ⓘ 6859th harmonic 19

900.00

A 2^9/12 2^3/4 play^ⓘ Equal-tempered major sixth 4, 12 M

902.49

A 32 : 19 2⁵ : 19 play^ⓘ 19th subharmonic^[5][6] 19

905.87

A+^[2] 27 : 16 3³ : 2⁴ play^ⓘ Pythagorean major sixth^{[3][5][11][16]} 3

921.82

109 : 64 109 : 2⁶ play^ⓘ Hundred-ninth harmonic^[5] 109

925.00

2^37/48 2^37/48 play^ⓘ 37 steps in 48 equal temperament 48

925.42

B−^[2] 128 : 75 2⁷ : 3×5² play^ⓘ Just diminished seventh,^[16] diminished seventh,^[5][13] 75th subharmonic 5

925.79

A+ 437 : 256 19×23 : 2⁸ play^ⓘ Four-hundred-thirty-seventh harmonic 23

933.13

A^[2] 12 : 7 2²×3 : 7 play^ⓘ Septimal major sixth^[3][4][5] 7

937.63

A↑ 55 : 32 5×11 : 2⁵ play^ⓘ Fifty-fifth harmonic^[5][20] 11

950.00

A/B 2^19/24 2^19/24 play^ⓘ 19 steps in 24 equal temperament 24

953.30

A♯+ 111 : 64 3×37 : 2⁶ play^ⓘ Hundred-eleventh harmonic^[5] 37

955.03

A♯^[2] 125 : 72 5³ : 2³×3² play^ⓘ Just augmented sixth^[5] 5

957.21

(3 : 2)^15/11 3^15/11 : 2^15/11 play^ⓘ 15 steps in Beta scale 18.80

960.00

2^4/5 2^4/5 play^ⓘ 4 steps in 5 equal temperament 5

968.83

B♭^[2] 7 : 4 7 : 2² play^ⓘ Septimal minor seventh,^[4][5][11] harmonic seventh,^[3][11] augmented sixth^{[citation needed]} 7

975.00

2^13/16 2^39/48 play^ⓘ 39 steps in 48 equal temperament 16, 48

976.54

A♯+^[2] 225 : 128 3²×5² : 2⁷ play^ⓘ Just augmented sixth^[16] 5

984.21

113 : 64 113 : 2⁶ play^ⓘ Hundred-thirteenth harmonic^[5] 113

996.09

B♭−^[2] 16 : 9 2⁴ : 3² play^ⓘ Pythagorean minor seventh,^[3] Small just minor seventh,^[4] lesser minor seventh,^[16] just minor seventh,^[11] Pythagorean small minor seventh^[5] 3

999.47

B♭ 57 : 32 3×19 : 2⁵ play^ⓘ Fifty-seventh harmonic^[5] 19

1000.00

A♯/B♭ 2^10/12 2^5/6 play^ⓘ Equal-tempered minor seventh 6, 12 M

1014.59

A♯+ 115 : 64 5×23 : 2⁶ play^ⓘ Hundred-fifteenth harmonic^[5] 23

1017.60

B♭^[2] 9 : 5 3² : 5 play^ⓘ Greater just minor seventh,^[16] large just minor seventh,^[4][5] Bohlen-Pierce seventh^[3] 5

1019.55

A♯+++ 59049 : 32768 3¹⁰ : 2¹⁵ play^ⓘ Pythagorean augmented sixth^[3][6] 3

1025.00

2^41/48 2^41/48 play^ⓘ 41 steps in 48 equal temperament 48

1028.57

2^6/7 2^6/7 play^ⓘ 6 steps in 7 equal temperament 7

1029.58

B♭ 29 : 16 29 : 2⁴ play^ⓘ Twenty-ninth harmonic,^[5] minor seventh^{[citation needed]} 29

1035.00

B↓^[2] 20 : 11 2²×5 : 11 play^ⓘ Lesser undecimal neutral seventh, large minor seventh^[3] 11

1039.10

B♭+ 729 : 400 3⁶ : 2⁴×5² play^ⓘ Acute minor seventh^[3] 5

1044.44

B♭ 117 : 64 3²×13 : 2⁶ play^ⓘ Hundred-seventeenth harmonic^[5] 13

1044.86

B♭- 64 : 35 2⁶ : 5×7 play^ⓘ 35th subharmonic,^[5] septimal neutral seventh^[6] 7

1049.36

B↑♭−^[2] 11 : 6 11 : 2×3 play^ⓘ 21⁄4-tone or Undecimal neutral seventh,^[3] undecimal 'median' seventh^[5] 11

1050.00

A/B 2^21/24 2^7/8 play^ⓘ Equal-tempered neutral seventh 8, 24

1059.17

59 : 32 59 : 2⁵ play^ⓘ Fifty-ninth harmonic^[5] 59

1066.76

B− 50 : 27 2×5² : 3³ play^ⓘ Grave major seventh^[3] 5

1071.70

B♭- 13 : 7 13 : 7 play^ⓘ Tridecimal neutral seventh^[21] 13

1073.78

B 119 : 64 7×17 : 2⁶ play^ⓘ Hundred-nineteenth harmonic^[5] 17

1075.00

2^43/48 2^43/48 play^ⓘ 43 steps in 48 equal temperament 48

1086.31

C′♭−− 4096 : 2187 2¹² : 3⁷ play^ⓘ Pythagorean diminished octave^[3][6] 3

1088.27

B^[2] 15 : 8 3×5 : 2³ play^ⓘ Just major seventh,^{[3][5][11][16]} small just major seventh,^[4] 1⁄6-comma meantone major seventh 5

1095.04

C♭ 32 : 17 2⁵ : 17 play^ⓘ 17th subharmonic^[5][6] 17

1100.00

B 2^11/12 2^11/12 play^ⓘ Equal-tempered major seventh 12 M

1102.64

B↑↑♭- 121 : 64 11² : 2⁶ play^ⓘ Hundred-twenty-first harmonic^[5] 11

1107.82

C′♭− 256 : 135 2⁸ : 3³×5 play^ⓘ Octave − major chroma,^[3] 135th subharmonic, narrow diminished octave^{[citation needed]} 5

1109.78

B+^[2] 243 : 128 3⁵ : 2⁷ play^ⓘ Pythagorean major seventh^{[3][5][6][11]} 3

1116.88

61 : 32 61 : 2⁵ play^ⓘ Sixty-first harmonic^[5] 61

1125.00

2^15/16 2^45/48 play^ⓘ 45 steps in 48 equal temperament 16, 48

1129.33

C′♭^[2] 48 : 25 2⁴×3 : 5² play^ⓘ Classic diminished octave,^[3][6] large just major seventh^[4] 5

1131.02

B 123 : 64 3×41 : 2⁶ play^ⓘ Hundred-twenty-third harmonic^[5] 41

1137.04

B 27 : 14 3³ : 2×7 play^ⓘ Septimal major seventh^[5] 7

1138.04

C♭ 247 : 128 13×19 : 2⁷ play^ⓘ Two-hundred-forty-seventh harmonic 19

1145.04

B 31 : 16 31 : 2⁴ play^ⓘ Thirty-first harmonic,^[5] augmented seventh^{[citation needed]} 31

1146.73

C↓ 64 : 33 2⁶ : 3×11 play^ⓘ 33rd subharmonic^[6] 11

1150.00

B/C 2^23/24 2^23/24 play^ⓘ 23 steps in 24 equal temperament 24

1151.23

C 35 : 18 5×7 : 2×3² play^ⓘ Septimal supermajor seventh, septimal quarter tone inverted 7

1158.94

B♯^[2] 125 : 64 5³ : 2⁶ play^ⓘ Just augmented seventh,^[5] 125th harmonic 5

1172.74

C+ 63 : 32 3²×7 : 2⁵ play^ⓘ Sixty-third harmonic^[5] 7

1175.00

2^47/48 2^47/48 play^ⓘ 47 steps in 48 equal temperament 48

1178.49

C′− 160 : 81 2⁵×5 : 3⁴ play^ⓘ Octave − syntonic comma,^[3] semi-diminished octave^{[citation needed]} 5

1179.59

B↑ 253 : 128 11×23 : 2⁷ play^ⓘ Two-hundred-fifty-third harmonic^[5] 23

1186.42

127 : 64 127 : 2⁶ play^ⓘ Hundred-twenty-seventh harmonic^[5] 127

1200.00

C′ 2 : 1 2 : 1 play^ⓘ Octave^[3][11] or diapason^[4] 1, 12 3 M S