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

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Revision as of 15:05, 30 June 2025 by MisterShafXen (talk | contribs) (Created page with "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: 5-limit 10th-tone == 7-limit == 64/63, 27.2640918 cents: 7-limit 11edo-esque 8th-tone == 11-limit == == 13-limit == 66/65, 26.4315676 cents: 13-limit 17edo-esque 8th-tone 65/64, 26.84137563 cents: 13-limit 23rd-tritone == 23-limit == 70/69, 24.9102722 cents: 23-limit 8th-...")
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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: 5-limit 10th-tone

7-limit

64/63, 27.2640918 cents: 7-limit 11edo-esque 8th-tone

11-limit

13-limit

66/65, 26.4315676 cents: 13-limit 17edo-esque 8th-tone

65/64, 26.84137563 cents: 13-limit 23rd-tritone

23-limit

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

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

31-limit

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

59-limit

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

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

61-limit

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

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

67-limit

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

67/66, 26.03408532 cents: 67-limit 7th-minortone

71-limit

72/71, 24.21345833 cents: 71-limit 8th-meantone

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