Prime Limit Utonal Tunings: 13-limit Exact

dreamy piano keyboard

DAVID'S HOME PAGE

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	28.64	29	C
2	16	:	15	1.066666667	111.73	40.37	40	C#
3	8	:	7	1.142857143	231.17	59.81	60	D
4	32	:	27	1.185185185	294.13	22.77	23	D#
5	16	:	13	1.230769231	359.47	-11.89	-12	E
6	32	:	25	1.28	427.37	-43.99	-44	F
7	4	:	3	1.333333333	498.04	-73.32	-73	F#
8	16	:	11	1.454545455	648.68	-22.68	-23	G
9	32	:	21	1.523809524	729.22	-42.14	-42	G#
10	8	:	5	1.6	813.69	-57.67	-58	A
11	16	:	9	1.777777778	996.09	24.73	25	A#
12	64	:	33	1.939393939	1146.73	75.37	75	B

Play Tuning bar chart

Largest step size:	182.40	(10:9)
Smallest step size:	53.27	(33:32)
Number of step sizes:	11

Odd limit 33
HC = 13.4

Comprised of
	3 (4)	5 (2)	7 (2)	11 (2)	13
Squares	3²	5²
Cubes	3³

Totals	9	4	2	2	1

2004 by David J. Finnamore
tuning@elvenminstrel.com