Prime Limit Utonal Tunings: 23-limit Full

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TUNING PAGES MENU

A. Rational Tunings

· Prime Limit

· 5-limit Full

· 5-limit Exact

· 7-limit Full

· 7-limit Exact

· 11-limit Full

· 11-limit Exact

· 13-limit Full

· 13-limit Exact

· 17-limit Full

· 17-limit Exact

· 19-limit Full

· 19-limit Exact

· 23-limit Full

· 23-limit Exact

· Harmonic Series

· Simple Skip-sets

· Saturated Ratios

· Tetrachords

· Septimal Chromatic

· Hexanies

B. Equal Temperaments

· Octave Repeating

· Non-octave Repeating

· 88c

C. Non-Equal, Non-Rational

· Golden Horagramic

· Lucy Tuning™

· 2pi Roots

Scale Degree	Num	:	Den	Quotient	Cents	Tuning Table	Rounded Tuning Table	Note Name
1	1	:	1	1	0.00	6.48	6	C
2	16	:	15	1.066666667	111.73	18.21	18	C#
3	8	:	7	1.142857143	231.17	37.65	38	D
4	32	:	27	1.185185185	294.13	0.61	1	D#
5	16	:	13	1.230769231	359.47	-34.05	-34	E
6	4	:	3	1.333333333	498.04	4.52	5	F
7	32	:	23	1.391304348	571.73	-21.80	-22	F#
8	16	:	11	1.454545455	648.68	-44.84	-45	G
9	8	:	5	1.6	813.69	20.16	20	G#
10	32	:	19	1.684210526	902.49	8.96	9	A
11	16	:	9	1.777777778	996.09	2.57	3	A#
12	32	:	17	1.882352941	1095.04	1.52	2	B

Play Tuning bar chart

Largest step size:	165.00	(11:10)
Smallest step size:	62.96	(28:27)
Number of step sizes:	12

Odd limit 27
HC = 20.7

Comprised of
	3 (2)	5 (2)	7	11	13	17	19	23
Squares	3²
Cubes	3³

Totals	7	2	1	1	1	1	1	1

2004 by David J. Finnamore
tuning@elvenminstrel.com