Prime Limit Utonal Tunings: 19-limit Full

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	-6.65	-7	C
2	16	:	15	1.066666667	111.73	5.08	5	C#
3	8	:	7	1.142857143	231.17	24.53	25	D
4	32	:	27	1.185185185	294.13	-12.51	-13	D#
5	16	:	13	1.230769231	359.47	-47.17	-47	E
6	4	:	3	1.333333333	498.04	-8.60	-9	F
7	16	:	11	1.454545455	648.68	42.03	42	F#
8	32	:	21	1.523809524	729.22	22.57	23	G
9	8	:	5	1.6	813.69	7.04	7	G#
10	32	:	19	1.684210526	902.49	-4.16	-4	A
11	16	:	9	1.777777778	996.09	-10.56	-11	A#
12	32	:	17	1.882352941	1095.04	-11.60	-12	B

Play Tuning bar chart

Largest step size:	150.64	(12:11)
Smallest step size:	62.96	(28:27)
Number of step sizes:	12

Odd limit 27
HC = 17.6

Consists of:
	3 (3)	5 (2)	7 (2)	11	13	17	19
Squares	3²
Cubes	3³

Totals	8	2	2	1	1	1	1

2004 by David J. Finnamore
tuning@elvenminstrel.com