Prime Limit Utonal Tunings: 29-limit

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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

· 29-limit

· 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	16.79	17	C
2	16	:	15	1.066666667	111.73	28.52	29	C#
3	32	:	29	1.103448276	170.42	-12.79	-13	D
4	8	:	7	1.142857143	231.17	-52.04	-52	D#
5	16	:	13	1.230769231	359.47	-23.74	-24	E
6	4	:	3	1.333333333	498.04	14.83	15	F
7	32	:	23	1.391304348	571.73	-11.49	-11	F#
8	16	:	11	1.454545455	648.68	-34.53	-35	G
9	8	:	5	1.6	813.69	30.47	30	G#
10	32	:	19	1.684210526	902.49	19.27	19	A
11	16	:	9	1.777777778	996.09	12.88	13	A#
12	32	:	17	1.882352941	1095.04	11.83	12	B

Play Tuning bar chart

Largest step size:	165.00	(11:10)
Smallest step size:	58.69	(30:29)
Number of step sizes:	12

HC = 23.0

Consists of:
	3 (2)	5 (2)	7	11	13	17	19	23	29
Squares	3²

Totals	4	2	1	1	1	1	1	1	1

2004 by David J. Finnamore
tuning@elvenminstrel.com