Prime Limit Otonal Tunings: 11-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	28.48	28	C
2	33	:	32	1.03125	53.27	-18.25	-18	C#
3	35	:	32	1.09375	155.14	-16.38	-16	D
4	9	:	8	1.125	203.91	-67.61	-68	D#
5	5	:	4	1.25	386.31	14.79	15	E
6	21	:	16	1.3125	470.78	-0.74	-1	F
7	11	:	8	1.375	551.32	-20.21	-20	F#
8	3	:	2	1.5	701.96	30.43	30	G
9	25	:	16	1.5625	772.63	1.10	1	G#
10	27	:	16	1.6875	905.87	34.34	34	A
11	7	:	4	1.75	968.83	-2.70	-3	A#
12	15	:	8	1.875	1088.27	16.75	17	B

Play Tuning bar chart

Largest step size:	182.40	(10:9)
Smallest step size:	48.77	(36:35)
Number of step sizes:	12

Odd limit 35
HC = 10.9

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

Totals	9	5	3	2

2004 by David J. Finnamore
tuning@elvenminstrel.com