58 equal temperament
Interval size

58 equal temperament

Section Title: Interval size
Table Section Text: None

interval name	size (steps)	size (cents)	just ratio	just (cents)	error

octave	58	1200	2:1	1200	0

perfect fifth	34	703.45	3:2	701.96	+1.49

greater septendecimal tritone	29	600	17:12	603.00	−3.00

lesser septendecimal tritone	24:17	597.00	+3.00

septimal tritone	28	579.31	7:5	582.51	−3.20

eleventh harmonic	27	558.62	11:8	551.32	+7.30

15:11 wide fourth	26	537.93	15:11	536.95	+0.98

perfect fourth	24	496.55	4:3	498.04	−1.49

septimal narrow fourth	23	475.86	21:16	470.78	+5.08

tridecimal major third	22	455.17	13:10	454.21	+0.96

septimal major third	21	434.48	9:7	435.08	−0.60

undecimal major third	20	413.79	14:11	417.51	−3.72

major third	19	393.10	5:4	386.31	+6.79

tridecimal neutral third	17	351.72	16:13	359.47	−7.75

undecimal neutral third	11:9	347.41	+4.31

minor third	15	310.34	6:5	315.64	−5.30

tridecimal minor third	14	289.66	13:11	289.21	+0.45

septimal minor third	13	268.97	7:6	266.87	+2.10

tridecimal semifourth	12	248.28	15:13	247.74	+0.54

septimal whole tone	11	227.59	8:7	231.17	−3.58

whole tone, major tone	10	206.90	9:8	203.91	+2.99

whole tone, minor tone	9	186.21	10:9	182.40	+3.81

greater undecimal neutral second	8	165.52	11:10	165.00	+0.52

lesser undecimal neutral second	7	144.83	12:11	150.64	−5.81

septimal diatonic semitone	6	124.14	15:14	119.44	+4.70

septendecimal semitone; 17th harmonic	5	103.45	17:16	104.96	−1.51

diatonic semitone	5	103.45	16:15	111.73	−8.28

septimal chromatic semitone	4	82.76	21:20	84.47	−1.71

chromatic semitone	3	62.07	25:24	70.67	−8.60

septimal third tone	3	62.07	28:27	62.96	−0.89

septimal quarter tone	2	41.38	36:35	48.77	−7.39

septimal diesis	2	41.38	49:48	35.70	+5.68

septimal comma	1	20.69	64:63	27.26	−6.57

syntonic comma	1	20.69	81:80	21.51	−0.82

Sentence(s)

58 equal temperament divides the octave into 58 equal parts.

final_sentence: 58 equal temperament divides the octave into 58 equal parts.