Noleta

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← 8ed4/3

9ed4/3

10ed4/3 →

Prime factorization	32
Step size	55.3383 ¢
Octave	22\9ed4/3 (1217.44 ¢)
Twelfth	34\9ed4/3 (1881.5 ¢)
Consistency limit	2
Distinct consistency limit	2

Noleta divides the perfect fourth (4/3) into 9 equal parts, each 55.3383 cents in size. The term seems to be coined by Ron Sword: Nonoctaves.com: Messages: 9197

Regular temperaments that divide 4/3 into 9 equal parts include:

• Escapade
• 21edo
• 22edo
• 43edo
• 65edo
• 87edo
• 16ed5/3

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	55.3	21/20
2	110.7	13/12, 19/18, 20/19, 22/21
3	166	11/10, 12/11, 14/13, 19/17, 21/19
4	221.4	10/9, 15/13
5	276.7	7/6, 13/11, 20/17, 22/19
6	332	6/5, 17/14, 21/17
7	387.4
8	442.7	13/10, 14/11, 19/15, 22/17
9	498	15/11, 17/13, 19/14

Harmonics

Approximation of harmonics in 9ed4/3

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+17.4	-20.5	-20.5	-19.4	-3.0	+6.8	-3.0	+14.4	-2.0	-0.9	+14.4
	Relative (%)	+31.5	-37.0	-37.0	-35.1	-5.4	+12.3	-5.4	+26.1	-3.5	-1.7	+26.1
Steps (reduced)		22 (4)	34 (7)	43 (7)	50 (5)	56 (2)	61 (7)	65 (2)	69 (6)	72 (0)	75 (3)	78 (6)

Approximation of harmonics in 9ed4/3

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-13.5	+24.3	+15.5	+14.4	+20.2	-23.5	-6.4	+15.5	-13.6	+16.5	-5.1
	Relative (%)	-24.3	+43.8	+28.0	+26.1	+36.4	-42.4	-11.5	+28.0	-24.6	+29.8	-9.2
Steps (reduced)		80 (8)	83 (2)	85 (4)	87 (6)	89 (8)	90 (0)	92 (2)	94 (4)	95 (5)	97 (7)	98 (8)

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