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Equally tempered intervals versus just intervals


Primes lower than 7, factors less than 512, ratios within 30 cents

minor second (1.059)
ratiodecimaldiff
15:141.07119.4
16:151.06711.7
21:201.05-15.5
25:241.042-29.3
135:1281.055-7.8
200:1891.058-2.1
256:2431.054-9.8
256:2451.045-24
343:3201.07220.2
343:3241.059-1.3
360:3431.05-16.3
392:3751.045-23.2
major second (1.122)
ratiodecimaldiff
9:81.1253.9
10:91.111-17.6
28:251.12-3.8
125:1121.116-9.9
245:2161.13418.1
256:2251.13823.5
384:3431.12-4.5
448:4051.106-25.3
500:4411.13417.4
minor third (1.189)
ratiodecimaldiff
6:51.215.6
25:211.191.8
32:271.185-5.9
75:641.172-25.4
98:811.2129.8
135:1121.20523.4
147:1251.176-19.3
189:1601.181-11.6
288:2451.176-20.1
343:2881.1912.6
405:3431.181-12.3
448:3751.1957.9
major third (1.26)
ratiodecimaldiff
5:41.25-13.7
32:251.2827.4
56:451.244-21.4
63:501.260.1
80:631.2713.6
81:641.2667.8
125:981.27621.3
245:1921.27622
243:1961.24-27.9
343:2701.2714.3
432:3431.259-0.6
512:4051.2645.9
perfect fourth (1.335)
ratiodecimaldiff
4:31.333-2
21:161.313-29.2
27:201.3519.6
75:561.3395.8
168:1251.34411.8
250:1891.323-15.7
256:1891.35525.3
320:2431.317-23.5
324:2451.322-16.1
343:2561.346.5
450:3431.312-29.9
tritone [1:√2] (1.414)
ratiodecimaldiff
7:51.4-17.5
10:71.42917.5
45:321.406-9.8
64:451.4229.8
343:2401.42918.2
343:2431.412-3.3
480:3431.399-18.2
486:3431.4173.3
perfect fifth (1.498)
ratiodecimaldiff
3:21.52
32:211.52429.2
40:271.481-19.6
112:751.493-5.8
125:841.488-11.8
189:1251.51215.7
189:1281.477-25.3
243:1601.51923.5
245:1621.51216.1
343:2251.52429.9
512:3431.493-6.5
minor sixth (1.587)
ratiodecimaldiff
8:51.613.7
25:161.563-27.4
45:281.60721.4
63:401.575-13.6
100:631.587-0.1
128:811.58-7.8
196:1251.568-21.3
343:2161.5880.6
392:2431.61327.9
384:2451.567-22
405:2561.582-5.9
major sixth (1.682)
ratiodecimaldiff
5:31.667-15.6
27:161.6885.9
42:251.68-1.8
81:491.653-29.8
128:751.70725.4
224:1351.659-23.4
245:1441.70120.1
250:1471.70119.3
320:1891.69311.6
375:2241.674-7.9
minor seventh (1.782)
ratiodecimaldiff
9:51.817.6
16:91.778-3.9
25:141.7863.8
224:1251.7929.9
225:1281.758-23.5
343:1921.7864.5
405:2241.80825.3
432:2451.763-18.1
441:2501.764-17.4
major seventh (1.888)
ratiodecimaldiff
15:81.875-11.7
28:151.867-19.4
40:211.90515.5
48:251.9229.3
189:1001.892.1
243:1281.8989.8
245:1281.91424
256:1351.8967.8
343:1801.90616.3
375:1961.91323.2
unison/octave (2)
ratiodecimaldiff
4:22-0
63:321.969-27.3
125:631.984-13.8
160:811.975-21.5
448:2251.991-7.7
486:2451.984-14.2

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