#DecimalCents Natural intervalsRatioDecimalCentsBias
01.0000000.000 Unison
Landscape comma = Breedsma – Ragisma
Ragisma
Breedsma
Ennprod = Breedsma + Ragisma
Tertiadec = Schisma – Breedsma + Ragisma
Schisma
Tertiapont = Schisma + Ragisma
1:1
250047:250000
4375:4374
2401:2400
420175:419904
703125:702464
32805:32768
65625:65536
1.000000
1.000188
1.000229
1.000417
1.000645
1.000941
1.001129
1.001358
0.000
0.325
0.396
0.721
1.117
1.628
1.954
2.349
+0.000
–0.325
–0.396
–0.721
–1.117
–1.628
–1.954
–2.349
11.0040627.018 Hewuermity = Septimal kleisma – Tertiapont
Hemifamity = Beta 5 = Septimal kleisma – Schisma
Parahew = Septimal kleisma – Tertiadec
Parafi = Septimal kleisma – Schisma + Breedsma
Mirkwai = Small BP diesis = Septimal kleisma – Breedsma
Cataharry = Septimal kleisma – Ragisma
Septimal kleisma = Marvel comma
Kleisma = Septimal kleisma + Ragisma
Gamelisma = Gamelan residue = Septimal kleisma + Breedsma
6144:6125
5120:5103
3136:3125
10976:10935
16875:16807
19683:19600
225:224
15625:15552
1029:1024
1.003102
1.003331
1.003520
1.003749
1.004046
1.004235
1.004464
1.004694
1.004883
5.362
5.758
6.083
6.479
6.990
7.316
7.712
8.107
8.433
+1.655
+1.260
+0.934
+0.539
+0.027
–0.298
–0.694
–1.090
–1.415
21.00814014.035 Würschmidt's comma = Septimal semicomma – Tertiapont
Orwell comma = Septimal semicomma – Breedsma
Medium semicomma = Septimal semicomma – Ragisma
Octagari = Septimal semicomma – Landscape comma
Septimal semicomma = Starling comma
Octarod = Minor BP diesis = Septimal semicomma + Ragisma
Septimal kleisma = Septimal semicomma + Tertiadec
393216:390625
1728:1715
78732:78125
4000:3969
126:125
245:243
50625:50176
1.006633
1.007580
1.007770
1.007811
1.008000
1.008230
1.008949
11.445
13.074
13.399
13.469
13.795
14.191
15.423
+2.590
+0.962
+0.636
+0.566
+0.240
–0.155
–1.388
31.01223521.053 Diaschisma = Syntonic comma – Schisma
Nuwell comma = Syntonic comma – Breedsma
Gariboh comma = Major BP diesis = Syntonic comma – Landscape comma
Syntonic comma = Didymus' comma
Supermagic comma = Syntonic comma + Ragisma
Pythagorean comma = Syntonic comma + Schisma
2048:2025
2430:2401
3125:3087
81:80
875:864
531441:524288
1.011358
1.012078
1.012310
1.012500
1.012731
1.013643
19.553
20.785
21.181
21.506
21.902
23.460
+1.500
+0.268
–0.128
–0.454
–0.849
–2.407
41.01634628.070 Septimal comma = Archytas' comma
Minimal diesis = Septimal comma + Ragisma
Senga = Septimal comma + Breedsma
Small diesis = Magic comma = Septimal comma + Tertiapont
64:63
20000:19683
686:675
3125:3072
1.015873
1.016105
1.016296
1.017253
27.264
27.660
27.985
29.614
+0.806
+0.410
+0.085
–1.543
51.02047435.088 Jubilisma = Septimal sixth-tone = Tritonic diesis = Septimal diesis – Breedsma
Great BP diesis = Septimal diesis – Landscape comma
Septimal diesis = Slendro diesis
50:49
15625:15309
49:48
1.020408
1.020641
1.020833
34.976
35.371
35.697
+0.112
–0.284
–0.609
61.02461942.105 Minor diesis = 5-Limit limma
Mathieu superdiesis = Minor diesis + Schisma
Avicenna enharmonic diesis = Minor diesis + Tertiapont
128:125
6561:6400
525:512
1.024000
1.025156
1.025391
41.059
43.013
43.408
+1.046
–0.907
–1.303
71.02878149.123 Septimal quarter-tone
Maximal diesis = Porcupine comma = Septimal quarter-tone + Ragisma
Keega = Septimal quarter-tone + Breedsma
Harrison's comma = Septimal quarter-tone + Schisma
36:35
250:243
1029:1000
59049:57344
1.028571
1.028807
1.029000
1.029733
48.770
49.166
49.492
50.724
+0.352
–0.043
–0.369
–1.601
81.03295956.140 Septimal quarter-tone + Septimal kleisma 405:392 1.033163 56.482 –0.342
91.03715563.158 Major diesis = Septimal third-tone – Ragisma
Septimal third-tone = Archytas' third-tone
648:625
28:27
1.036800
1.037037
62.565
62.961
+0.593
+0.197
101.04136870.175 Grave minor second = Chromatic semitone – Schisma
Chromatic semitone = Minor chroma
20480:19683
25:24
1.040492
1.041667
68.719
70.672
+1.457
–0.497
111.04559777.193 Septimal quarter-tone + Septimal comma 256:245 1.044898 76.034 +1.159
121.04984484.211 Septimal chromatic semitone 21:20 1.050000 84.467 –0.257
131.05410991.228 Pythagorean limma = Major limma - Schisma
Major limma = Major chroma
256:243
135:128
1.053498
1.054688
90.225
92.179
+1.003
–0.951
141.05839098.246 BP small link
Chromatic semitone + Septimal comma
413343:390625
200:189
1.058158
1.058201
97.866
97.937
+0.379
+0.309
151.062689105.263 Septimal diatonic semitone – Septimal semicomma 625:588 1.062925 105.648 –0.385
161.067005112.281 Diatonic semitone
BP minor link = Diatonic semitone + Landscape comma
Pythagorean apotome = Diatonic semitone + Schisma
16:15
83349:78125
2187:2048
1.066667
1.066867
1.067871
111.731
112.057
113.685
+0.549
+0.224
–1.404
171.071339119.298 BP major link = Septimal diatonic semitone – Ragisma
Septimal diatonic semitone
6561:6125
15:14
1.071184
1.071429
119.047
119.443
+0.251
–0.145
181.075691126.316 Diatonic semitone + Septimal semicomma
Double septimal third-tone
672:625
784:729
1.075200
1.075446
125.526
125.922
+0.790
+0.394
191.080060133.333 BP small semitone 27:25 1.080000 133.238 +0.096
201.084447140.351 Septimal diatonic semitone + Syntonic comma 243:224 1.084821 140.949 –0.598
211.088851147.368 BP minor semitone 49:45 1.088889 147.428 –0.060
221.093274154.386 BP major semitone = Septimal neutral second – Breedsma
Septimal neutral second
375:343
35:32
1.093294
1.093750
154.418
155.140
–0.032
–0.754
231.097715161.404 Diatonic semitone + Septimal quarter-tone = Grave whole tone – Ragisma
Grave whole tone
192:175
800:729
1.097143
1.097394
160.502
160.897
+0.902
+0.506
241.102173168.421 Zalzal's mujannab
BP great semitone = Zalzal's mujannab + Ragisma
54:49
625:567
1.102041
1.102293
168.213
168.609
+0.208
–0.188
251.106650175.439 Diatonic semitone + Septimal third-tone
Major limma + Septimal chromatic semitone
448:405
567:512
1.106173
1.107422
174.692
176.646
+0.746
–1.207
261.111145182.456 Pythagorean diminished third = Minor whole tone – Schisma
Minor whole tone
65536:59049
10:9
1.109858
1.111111
180.450
182.404
+2.006
+0.052
271.115658189.474 Classic augmented semitone 125:112 1.116071 190.115 –0.642
281.120189196.491 Middle second 28:25 1.120000 196.198 +0.293
291.124739203.509 Major whole tone 9:8 1.125000 203.910 –0.401
301.129308210.526 Minor whole tone + Septimal comma 640:567 1.128748 209.668 +0.859
311.133895217.544 Major whole tone + Septimal semicomma
Minor whole tone + Septimal diesis
567:500
245:216
1.134000
1.134259
217.705
218.101
–0.161
–0.557
321.138500224.561 Diminished third
Acute major second = Diminished third + Schisma
256:225
729:640
1.137778
1.139062
223.463
225.416
+1.099
–0.855
331.143124231.579 Septimal whole tone 8:7 1.142857 231.174 +0.405
341.147767238.596 Major whole tone + Septimal diesis 147:128 1.148438 239.607 –1.010
351.152429245.614 Classic diminished third 144:125 1.152000 244.969 +0.645
361.157110252.632 Al-Hwarizmi's lute middle finger
Semi-augmented whole tone = Al-Hwarizmi's lute middle finger + Ragisma
81:70
125:108
1.157143
1.157407
252.680
253.076
–0.049
–0.445
371.161810259.649 Septimal whole tone + Septimal comma
BP minor semitone + Diatonic semitone
512:441
784:675
1.160998
1.161481
258.438
259.159
+1.211
+0.490
381.166529266.667 Septimal minor third 7:6 1.166667 266.871 –0.204
391.171267273.684 Grave minor third = Classic augmented second – Schisma
Classic augmented second
2560:2187
75:64
1.170553
1.171875
272.629
274.582
+1.056
–0.898
401.176025280.702 Septimal whole tone + Septimal quarter tone
BP minor semitone + BP small semitone
288:245
147:125
1.175510
1.176000
279.944
280.666
+0.757
+0.036
411.180801287.719 Major whole tone + Septimal chromatic semitone 189:160 1.181250 288.377 –0.658
421.185597294.737 Pythagorean minor third
Wide augmented second = Pythagorean minor third + Schisma
32:27
1215:1024
1.185185
1.186523
252.680
296.089
+0.602
–1.352
431.190413301.754 BP second 25:21 1.190476 301.847 –0.092
441.195248308.772 Middle second + Diatonic semitone 448:375 1.194667 307.930 +0.842
451.200103315.789 Minor third
Pythagorean augmented second = Minor third + Schisma
6:5
19683:16384
1.200000
1.201355
315.641
317.595
+0.148
–1.806
461.204977322.807 Major whole tone + Septimal diatonic semitone 135:112 1.205357 323.353 –0.546
471.209871329.825 Septimal minor third + Septimal third-tone 98:81 1.209877 329.832 –0.007
481.214786336.842 Double diminished fourth = Acute minor third – Schisma
Acute minor third
Major third – Septimal quarter-tone = Acute minor third + Ragisma
4096:3375
243:200
175:144
1.213630
1.215000
1.215278
335.194
337.148
337.543
+1.648
–0.305
–0.701
491.219720343.860 Septimal neutral third 128:105 1.219048 342.905 +0.954
501.224674350.877 Smaller approximation to neutral third = Larger approximation to neutral third – Breedsma
Larger approximation to neutral third
60:49
49:40
1.224490
1.225000
350.617
351.338
+0.260
–0.461
511.229648357.895 Septimal minor third + Pythagorean limma
Major third – Septimal comma
896:729
315:256
1.229081
1.230469
357.096
359.050
+0.799
–1.155
521.234643364.912 Minor third + Septimal quarter-tone = Grave major third – Ragisma
Grave major third
Double augmented second = Grave major third + Schisma
216:175
100:81
10125:8192
1.234286
1.234568
1.235962
364.412
364.807
366.761
+0.501
+0.105
–1.849
531.239657371.930 Septimal major third – Septimal third-tone
BP second + Chromatic semitone
243:196
625:504
1.239796
1.240079
372.123
372.519
–0.193
–0.589
541.244693378.947 Perfect fourth – Septimal diatonic semitone 56:45 1.244444 378.602 +0.345
551.249748385.965 Pythagorean diminished fourth = Major third – Schisma
Major third
8192:6561
5:4
1.248590
1.250000
384.360
386.314
+1.605
–0.349
561.254824392.982 Double middle second 784:625 1.254400 392.397 –0.585
571.259921400.000 Quasi-equal major third 63:50 1.260000 400.108 –0.108
581.265038407.018 Narrow diminished fourth = Pythagorean major third – Schisma
Pythagorean major third
512:405
81:64
1.264198
1.265625
405.866
407.820
+1.151
–0.802
591.270177414.035 Wide major third 80:63 1.269841 413.578 +0.457
601.275336421.053 Major third + Septimal diesis 245:192 1.276042 422.011 –0.958
611.280516428.070 Classic diminished fourth
Acute major third = Classic diminished fourth + Schisma
32:25
6561:5120
1.280000
1.281445
427.373
429.326
+0.698
–1.256
621.285717435.088 Septimal major third = BP third 9:7 1.285714 435.084 +0.004
631.290939442.105 Pythagorean minor third + BP minor semitone
Narrow fourth – Septimal comma
1568:1215
1323:1024
1.290535
1.291992
441.563
443.517
+0.542
–1.412
641.296183449.123 Septimal major third + Septimal semicomma = Septimal semi-diminished fourth – Ragisma
Septimal semi-diminished fourth
162:125
35:27
1.296000
1.296296
448.879
449.275
+0.244
–0.152
651.301447456.140 Classic augmented third 125:96 1.302083 456.986 –0.846
661.306733463.158 Septatonic major third
Septimal tritone – Septimal diatonic semitone = Septatonic major third + Breedsma
64:49
98:75
1.306122
1.306667
462.348
463.069
+0.810
+0.089
671.312041470.175 Narrow fourth 21:16 1.312500 470.781 –0.605
681.317370477.193 Grave fourth
Wide augmented third = Grave fourth + Schisma
320:243
675:512
1.316872
1.318359
476.539
478.492
+0.654
–1.299