Tuning Methods

Prime Limit Otonal Tunings

23-limit Exact

Starting on degree 9, this tuning is the complete harmonic fragment 12 through 23. It makes the full series 1-24 available. From here on up, the odd limit is the same as the prime limit.

Scale
Degree
Num:DenQuotientCentsTuning
Table
Rounded
Tuning
Table
Note
Name
11:110.0029.7830C
217:161.0625104.9634.7435C#
39:81.125203.9133.6934D
419:161.1875297.5127.2927D#
55:41.25386.3116.0916E
621:161.3125470.780.561F
711:81.375551.32-18.90-19F#
823:161.4375628.27-41.95-42G
93:21.5701.96-68.27-68G#
1013:81.625840.53-29.69-30A
117:41.75968.83-1.39-1A#
1215:81.8751088.2718.0518B

Play Tuning bar chart

Largest step size:138.57 c (13:12)
Smallest step size:73.68 c (24:23}
Number of step sizes:12 

HC = 19.6

Consists of:
 3 (3)5 (2)7 (2)1113171923
Squares32       
Totals52211111

2004 by David J. Finnamore
tuning@elvenminstrel.com