Template:Ben Johnston accidentals

Other accidentals[edit]

#7 = 5·7 : 2·3² = 35 : 18 = -48.77 cents. vs. #L
11 = 3·11 : 2⁵ = 33 : 32 = 53.27 cents. vs. U11
13 = 5·13 : 2⁶ = 65 : 64 = 26.84 cents. vs. E1
17 = 3·17 : 2·5² = 51 : 50 = 34.28 cents. vs. L1
19 = 5·19 : 2⁵·3 = 95 : 96 = -18.13 cents. vs. U19
23 = 2·23 : 3²·5 = 46 : 45 = 38.05 cents. vs. U23
29 = 5·29 : 2⁴·3² = 145 : 144 = 11.98 cents. vs. U29
31 = 31 : 2·3·5 = 31 : 30 = 56.77 cents. vs. 1E
LE = 3·5² : 2·37 = 75 : 74 = 23.24 cents. vs. 37
41 = 41 : 2³·5 = 41 : 40 = 42.75 cents. vs. U41
43 = 3·43 : 2⁷ = 129 : 128 = 13.47 cents. vs. U43
47 = 2⁴·3 : 47 = 48 : 47 = -36.45 cents. vs. U47
53 = 2⁵·5 : 3·53 = 160 : 159 = -10.85 cents. vs. U53
- #7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53...
- #L, U11, E1, L1, U19, U23, U29, 1E, LE, U41, U43, U47, U53...

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Ben Johnston accidentals
Limit	Image	Factors	Ratio	Cents	Versus	MIDI
7		2²·3² : 5·7	36 : 35	48.77
11	↑	3·11 : 2⁵	33 : 32	53.27	↓
13		5·13 : 2⁶	65 : 64	26.84
17		3·17 : 2·5²	51 : 50	34.28
19		2⁵·3 : 5·19	96 : 95	18.13
23		2·23 : 3²·5	46 : 45	38.05
29		5·29 : 2⁴·3²	145 : 144	11.98
31		31 : 2·3·5	31 : 30	56.77
37		3·5² : 2·37	75 : 74	23.24
41		41 : 2³·5	41 : 40	42.75
43		3·43 : 2⁷	129 : 128	13.47
47		Factors	Ratio	Cents
53		Factors	160 : 159	10.85		MIDI