Harry Partch's 43-Tone Scale
Full scale
Full scale with tonic drone
Scale Degree Navigation
1 / 1
81 / 80
33 / 32
21 / 20
16 / 15
12 / 11
11 / 10
10 / 9
9 / 8
8 / 7
7 / 6
32 / 27
6 / 5
11 / 9
5 / 4
14 / 11
9 / 7
21 / 16
4 / 3
27 / 20
11 / 8
7 / 5
10 / 7
16 / 11
40 / 27
3 / 2
32 / 21
14 / 9
11 / 7
8 / 5
18 / 11
5 / 3
27 / 16
12 / 7
7 / 4
16 / 9
9 / 5
20 / 11
11 / 6
15 / 8
40 / 21
64 / 33
160 / 81
2 / 1
1 / 1
+ 0.00 cents
Unison
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81 / 80
+21.51 cents
Syntonic comma
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33 / 32
+53.27 cents
Undecimal comma
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21 / 20
+ 84.47 cents
Minor semitone
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16 / 15
+111.73 cents
Minor diatonic semitone
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12 / 11
+150.64 cents
Undecimal neutral second,
3/4 tone
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11 / 10
+165.00 cents
Ptolemy's second,
4/5 tone
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10 / 9
+182.40 cents
Minor whole tone
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9 / 8
+203.91 cents
Major whole tone
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8 / 7
+231.17 cents
Septimal whole tone
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7 / 6
+266.87 cents
Septimal minor third
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32 / 27
+294.13 cents
Pythagorean minor third
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6 / 5
+315.64 cents
Just minor third
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11 / 9
+347.41 cents
Undecimal neutral third
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5 / 4
+386.31 cents
Just major third
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14 / 11
+417.51 cents
Undecimal diminished fourth
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9 / 7
+435.08 cents
Septimal major third,
Bohlen-Pierce third
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21 / 16
+470.78 cents
Septimal narrow fourth
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4 / 3
+ 498.04 cents
Perfect fourth
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27 / 20
+519.55 cents
Acute fourth,
Octave-inverted Ptolemaic wolf fifth
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11 / 8
+551.32 cents
Undecimal semi-augmented fourth
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7 / 5
+582.51 cents
Lesser septimal tritone,
Bohlen-Pierce fourth
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10 / 7
+617.49 cents
Greater septimal tritone
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16 / 11
+648.68 cents
Undecimal semi-diminished fifth
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40 / 27
+680.45 cents
Ptolemaic wolf fifth,
Grave fifth
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3 / 2
+701.96 cents
Perfect fifth
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32 / 21
+729.22
Septimal wide fifth
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14 / 9
+764.92 cents
Septimal minor sixth
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11 / 7
+782.49 cents
Undecimal augmented fifth
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8 / 5
+813.69
Just minor sixth
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18 / 11
+852.59
Undecimal neutral sixth
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5 / 3
+884.36 cents
Just major sixth,
Bohlen-Pierce sixth
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27 / 16
+905.87
Pythagorean major sixth
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12 / 7
+933.13
Septimal major sixth
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7 / 4
+968.83
Harmonic seventh
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16 / 9
+996.09 cents
Pythagorean minor seventh
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9 / 5
+1017.60 cents
Just minor seventh,
Bohlen-Pierce seventh
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20 / 11
+1035.00 cents
Octave-inverted Ptolemy's second
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11 / 6
+1049.36 cents
Undecimal neutral seventh
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15 / 8
+1088.27 cents
Just major seventh
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40 / 21
+1115.53 cents
Octave-inverted minor semitone
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64 / 33
+1146.73 cents
33rd subharmonic
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160 / 81
+1178.49 cents
Octave-inverted syntonic comma
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2 / 1
+1200 cents
Octave
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