Prime Limit Otonal 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

The same as 23-limit Exact except that harmonic 21 is supplanted by 29.

Scale Degree	Num	:	Den	Quotient	Cents	Tuning Table	Rounded Tuning Table	Note Name
1	1	:	1	1	0.00	-16.79	-17	C
2	17	:	16	1.0625	104.96	-11.83	-12	C#
3	9	:	8	1.125	203.91	-12.88	-13	D
4	19	:	16	1.1875	297.51	-19.27	-19	D#
5	5	:	4	1.25	386.31	-30.47	-30	E
6	11	:	8	1.375	551.32	34.53	35	F
7	23	:	16	1.4375	628.27	11.49	11	F#
8	3	:	2	1.5	701.96	-14.83	-15	G
9	13	:	8	1.625	840.53	23.74	24	G#
10	7	:	4	1.75	968.83	52.04	52	A
11	29	:	16	1.8125	1029.58	12.79	13	A#
12	15	:	8	1.875	1088.27	-28.52	-29	B

Play Tuning bar chart

Largest step size:	165.00 c	(11:10)
Smallest step size:	58.69 c	(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