User:MisterShafXen/Interval names (0-30 cents)

Here are my names for just intervals 0-30 cents in size, organized by prime limit.

3-limit

531441/524288, 23.46001038 cents: Pythagorean augmented 7th

5-limit

81/80, 21.5062896 cents: classical mean 9th-tone

7-limit

1029/1024, 8.432720273 cents: septimal 24th-tone

64/63, 27.2640918 cents: septimal 11edo-esque 8th-tone

11-limit

4125/4096, 12.21408482 cents: undecimal 16th-tone

100/99, 17.39948363 cents: undecimal 23edo-esque 12th-tone

99/98, 17.57613116 cents: undecimal mean 11th-tone

13-limit

8281/8192, 18.70713648 cents: tridecimal diatonic 12th-tone

91/90, 19.12985264 cents: tridecimal 7edo-esque 9th-tone

78/77, 22.3388138 cents: tridecimal classical-esque 10th-tone

66/65, 26.4315676 cents: tridecimal 17edo-esque 8th-tone

65/64, 26.84137563 cents: tridecimal 23rd-tritone

17-limit

2057/2048, 7.59129423 cents: 17-limit 5th-diesis

4131/4096, 14.73041383 cents: 17-limit porcupine 11th-tone

85/84, 20.48821603 cents: 17-limit porcupine 8th-tone

19-limit

513/512, 3.378018728 cents: 19-limit 12th-diesis

96/95, 18.12827087 cents: 19-limit porcupine 9th-tone

77/76, 22.6308327 cents: 19-limit 53edo-esque 9th-tone

76/75, 22.93058754 cents: 19-limit 7edo-esque 15th-ditone

23-limit

8211/8192, 4.010664103 cents: 23-limit 4-cent comma

1035/1024, 18.49806286 cents: 23-limit 13edo-esque 10th-tone

92/91, 18.92077903 cents: 23-limit 19edo-esque 10th-tone

8303/8192, 23.30037953 cents: 23-limit porcupine-esque 7th-tone

70/69, 24.9102722 cents: 23-limit 8th-tone

69/68, 25.27393863 cents: 23-limit 5edo-esque 19th-fourth

29-limit

8265/8192, 15.35892502 cents: 29-limit 13edo-esque 12th-tone

88/87, 19.78574735 cents: 29-limit 19-esque 10th-tone

4147/4096, 21.42279829 cents: 29-limit 7edo-esque 8th-tone

31-limit

4123/4096, 11.37449507 cents: 31-limit diatonic 8th-tone

93/92, 18.71622606 cents: 31-limit 8edo-esque 8th-tone

63/62, 27.70033574 cents: 31-limit mean 7th-tone

37-limit

4107/4096, 4.643078375 cents: 37-limit 9th-diesis

259/256, 20.16994522 cents: 37-limit semidiesis

75/74, 23.23838984 cents: 37-limit porcupine 7th-tone

41-limit

1025/1024, 1.689833271 cents: 41-limit 24th-diesis

82/81, 21.24240208 cents: 41-limit 17edo-esque 10th-tone

43-limit

129/128, 13.47270651 cents: 43-limit 3rd-diesis

87/86, 20.01448938 cents: 43-limit 10th-tone

86/85, 20.24858228 cents: 43-limit minor 9th-tone

47-limit

8225/8192, 6.959956212 cents: 47-limit 6th-diesis

517/512, 16.82456438 cents: 47-limit 12th-tone

95/94, 18.32010798 cents: 47-limit major 21st-third

94/93, 18.51604868 cents: 47-limit 13edo-esque 10th-tone

53-limit

8215/8192, 4.853831805 cents: 53-limit 8th-diesis

2067/2048, 15.98720811 cents: 53-limit diatonic 14th-tone

59-limit

2065/2048, 14.31127957 cents: 59-limit 14th-tone

60/59, 29.0970555 cents: 59-limit 7th-tone

59/58, 29.59446508 cents: 59-limit 40edo-esque 7th-tone

61-limit

8235/8192, 9.063521536 cents: 61-limit 19edo-esque 21st-tone

1037/1024, 21.84021458 cents: 61-limit 11edo-esque 10th-tone

62/61, 28.15076739 cents: 61-limit double delta-step

61/60, 28.61609035 cents: 61-limit 7th-tone

67-limit

8241/8192, 10.32443496 cents: 67-limit 20th-tone

68/67, 25.64838095 cents: 67-limit septimal-esque 9th-tone

67/66, 26.03408532 cents: 67-limit minor 7th-tone

71-limit

2059/2048, 9.273737559 cents: 71-limit diatonic 12th-tone

8307/8192, 24.13420691 cents: lesser 71-limit mean 8th-tone

72/71, 24.21345833 cents: greater 71-limit mean 8th-tone

71/70, 24.55692307 cents: 71-limit 7edo-esque 7th-tone

73-limit

74/73, 23.5545681 cents: 73-limit 17edo-esque 9th-tone

73/72, 23.87946893 cents: 73-limit 21st-fourth

79-limit

1027/1024, 5.064559582 cents: 79-limit 8th-diesis

8295/8192, 21.63151901 cents: 79-limit neutral 7th-tone

80/79, 21.77681605 cents: 79-limit 11edo-esque 10th-tone

79/78, 22.05423518 cents: 79-limit 9th-tone

83-limit

8217/8192, 5.275261712 cents: 83-limit quarter-comma

84/83, 20.73358972 cents: 83-limit porcupine 8th-tone

83/82, 20.98491207 cents: 83-limit septendecimal-esque 10th-tone

2075/2048, 22.67474535 cents: 83-limit chromatic 10th-tone

89-limit

8277/8192, 17.87069049 cents: 89-limit porcupine 9th-tone

90/89, 19.34359844 cents: 89-limit 31edo-esque 10th-tone

89/88, 19.56217479 cents: 89-limit mean 10th-tone

97-limit

8245/8192, 11.16453399 cents: 97-limit 18th-toned

98/97, 17.75640231 cents: 97-limit 17edo-esque 12th-tone

97/96, 17.94040976 cents: 97-limit septimal-esque 13th-tone

101-limit

4141/4096, 18.91618484 cents: 101-limit chromatic 12th-tone

103-limit

515/512, 10.11434648 cents: 103-limit quarter-diesis

107-limit

8239/8192, 9.904232515 cents: 107-limit quarter-diesis

109-limit

2071/2048, 19.33420586 cents: 109-limit semidiesis

113-limit

8249/8192, 12.00422555 cents: 113-limit 16th-tone

127-limit

8255/8192, 13.26299976 cents: 127-limit 3rd-diesis

131-limit

8253/8192, 12.84351004 cents: 131-limit 3rd-diesis

137-limit

2055/2048, 5.907214283 cents: 137-limit 7th-diesis

139-limit

8201/8192, 1.900946502 cents: 139-limit schisma

149-limit

8195/8192, 0.6338807842 cents: 149-limit 31st-diaschisma

151-limit

8305/8192, 23.71734342 cents: 151-limit 21st-fourth

179-limit

4117/4096, 8.853279986 cents: 179-limit chromatic 26th-tone

191-limit

8213/8192, 4.432299285 cents: 191-limit 9th-diesis

193-limit

8299/8192, 22.46615036 cents: 193-limit 9th-tone

197-limit

4137/4096, 17.24309068 cents: 197-limit neutral 9th-tone

211-limit

8229/8192, 7.801689083 cents: 211-limit 5th-diesis

223-limit

8251/8192, 12.42391866 cents: 223-limit 16th-tone

229-limit

2061/2048, 10.95454745 cents: 229-limit 18th-tone

241-limit

4097/4096, 0.4226129764 cents: 241-limit 50th-comma

251-limit

8283/8192, 19.12520797 cents: 251-limit neutral 8th-tone

257-limit

257/256, 6.749459033 cents: 257-limit 6th-diesis

283-limit

8207/8192, 3.167085551 cents: 283-limit 13th-diesis

293-limit

2051/2048, 2.534131776 cents: 293-limit 16th-diesis

307-limit

8289/8192, 20.37881704 cents: 307-limit porcupine 8th-tone

317-limit

4121/4096, 10.53449794 cents: 317-limit semicomma

331-limit

8275/8192, 17.4523159 cents: 331-limit 23edo-esque 12th-tone

359-limit

8257/8192, 13.68238786 cents: 359-limit 3rd-diesis

373-limit

4103/4096, 2.956126671 cents: 373-limit 14th-diesis

433-limit

8227/8192, 7.380873804 cents: 433-limit 28th-tone

457-limit

4113/4096, 7.1704278 cents: 457-limit 3rd-comma

461-limit

4149/4096, 22.25753025 cents: classical-esque diatonic 10th-tone

487-limit

8279/8192, 18.288964 cents: 487-limit 11edo-esque 12th-tone

547-limit

8205/8192, 2.745142081 cents: 547-limit 15th-diesis

587-limit

4109/4096, 5.485938201 cents: 587-limit quarter-comma

631-limit

8203/8192, 2.323095748 cents: 631-limit 17th-diesis

683-limit

2049/2048, 0.8451228135 cents: 683-limit 25th-comma

691-limit

2073/2048, 21.00528133 cents: 691-limit septendecimal-esque 10th-tone

751-limit

8261/8192, 14.52085938 cents: 751-limit 14th-tone

821-limit

4105/4096, 3.799807998 cents: 821-limit 11th-diesis

823-limit

4115/4096, 8.012058371 cents: 823-limit 5th-diesis

827-limit

4135/4096, 16.40593687 cents: 827-limit porcupine 3rd-comma

829-limit

4145/4096, 20.58766366 cents: 829-limit porcupine 8th-tone

911-limit

8199/8192, 1.478694293 cents: 911-limit 27th-diesis

919-limit

8271/8192, 16.61526328 cents: 919-limit 12th-tone

1031-limit

1031/1024, 11.79434084 cents: 1031-limit 16th-tone

1033-limit

1033/1024, 15.14944664 cents: 1033-limit diatonic 12th-tone

1171-limit

8197/8192, 1.056339071 cents: 1171-limit 20th-comma

1181-limit

8267/8192, 15.77780575 cents: 1181-limit 12th-tone

1367-limit

4101/4096, 2.112033993 cents: 1367-limit 10th-comma

1373-limit

4119/4096, 9.694093042 cents: 1373-limit quarter-diesis

1381-limit

4143/4096, 19.75212598 cents: 1381-limit semidiesis

1657-limit

8285/8192, 19.54317853 cents: 1657-limit semidiesis

2053-limit

2053/2048, 4.22149453 cents: 2053-limit 5th-comma

2063-limit

2063/2048, 12.63372706 cents: 2063-limit 16th-tone

2069-limit

2069/2048, 17.66151583 cents: 2069-limit mean 11th-tone

2731-limit

8193/8192, 0.2113193837 cents: 2731-limit 100th-comma

2741-limit

8223/8192, 6.538936256 cents: 2741-limit 3rd-diaschisma

2749-limit

8247/8192, 11.58443068 cents: 2749-limit 16th-tone

2753-limit

8259/8192, 14.10167438 cents: 2753-limit 17edo-esque 15th-tone

2767-limit

8301/8192, 22.8833152 cents: 2767-limit porcupine-esque 7th-tone

4099-limit

4099/4096, 1.267529562 cents: 4099-limit 32nd-diesis

4111-limit

4111/4096, 6.328387877 cents: 4111-limit 6th-diesis

4127-limit

4127/4096, 13.05326761 cents: 4127-limit 3rd-diesis

4129-limit

4129/4096: 13.89204381 cents: 4129-limit 3rd-diesis

4133-limit

4133/4096, 15.56837805 cents: 4133-limit 12th-tone

4139-limit

4139/4096, 18.07983988 cents: 4139-limit diatonic 10th-tone

8209-limit

8209/8192, 3.588926209 cents: 8209-limit 6th-comma

8219-limit

8219/8192, 5.696589056 cents: 8219-limit 7th-diesis

8221-limit

8221/8192, 6.117813888 cents: 8221-limit 32nd-tone

8231-limit

8231/8192, 8.222402099 cents: 8231-limit 5th-diesis

8233-limit

8233/8192, 8.6430129 cents: 8233-limit 24th-tone

8237-limit

8237/8192, 9.483928058 cents: 8237-limit quarter-diesis

8243-limit

8243/8192, 10.74453543 cents: 8243-limit semicomma

8263-limit

8263/8192, 14.93994291 cents: 8263-limit 23edo-esque 14th-tone

8269-limit

8269/8192, 16.19658515 cents: 8269-limit chromatic 14th-tone

8273-limit

8273/8192, 17.03384018 cents: 8273-limit 12th-tone

8287-limit

8287/8192, 19.9610482 cents: 8287-limit 10th-tone

8291-limit

8291/8192, 20.79648509 cents: 8291-limit 29edo-esque 10th-tone

8293-limit

8293/8192, 21.2140524 cents: 8293-limit mean 9th-tone

8297-limit

8297/8192, 22.04888499 cents: 8297-limit 9th-tone