Prime Limit Utonal Tunings: 13-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	-7.21	-7	C
2	16	:	15	1.066666667	111.73	4.52	5	C#
3	8	:	7	1.142857143	231.17	23.97	24	D
4	32	:	27	1.185185185	294.13	-13.07	-13	D#
5	16	:	13	1.230769231	359.47	-47.73	-48	E
6	4	:	3	1.333333333	498.04	-9.16	-9	F
7	16	:	11	1.454545455	648.68	41.48	41	F#
8	32	:	21	1.523809524	729.22	22.01	22	G
9	8	:	5	1.6	813.69	6.48	6	G#
10	64	:	39	1.641025641	857.52	-49.69	-50	A
11	16	:	9	1.777777778	996.09	-11.12	-11	A#
12	64	:	33	1.939393939	1146.73	39.52	40	B

Play Tuning bar chart

Largest step size:	150.64	(12:11)
Smallest step size:	43.83	(40:39)
Number of step sizes:	10

Odd limit 39
HC = 11.8

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

Totals	10	2	2	2	2

2004 by David J. Finnamore
tuning@elvenminstrel.com