Prime Limit Otonal Tunings: 17-limit Full

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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

· 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	2.90	3	C
2	17	:	16	1.0625	104.96	7.86	8	C#
3	9	:	8	1.125	203.91	6.81	7	D
4	39	:	32	1.21875	342.48	45.38	45	D#
5	5	:	4	1.25	386.31	-10.79	-11	E
6	21	:	16	1.3125	470.78	-26.32	-26	F
7	11	:	8	1.375	551.32	-45.78	-46	F#
8	3	:	2	1.5	701.96	4.85	5	G
9	13	:	8	1.625	840.53	43.43	43	G#
10	27	:	16	1.6875	905.87	8.76	9	A
11	7	:	4	1.75	968.83	-28.27	-28	A#
12	15	:	8	1.875	1088.27	-8.83	-9	B

Play Tuning bar chart

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

Odd limit 39
HC = 14.6

Consists of:
	3 (4)	5 (2)	7 (2)	11	13 (2)	17
Squares	3²
Cubes	3³

Totals	9	2	2	1	2	1

2004 by David J. Finnamore
tuning@elvenminstrel.com