Tuning Methods

Prime Limit Otonal Tunings

13-limit Exact

This is the lowest-limit PLOT to offer a heptatonic octave-equivalent scale comprising a complete harmonic fragment: 7-13. It also yields the octatonic fragment 8-15.

Scale
Degree
Num:DenQuotientCentsTuning
Table
Rounded
Tuning
Table
Note
Name
11:110.00-28.64-29C
233:321.0312553.27-75.37-75C#
39:81.125203.91-24.73-25D
45:41.25386.3157.6758D#
521:161.3125470.7842.1442E
611:81.375551.3222.6823F
73:21.5701.9673.3273F#
825:161.5625772.6343.9944G
913:81.625840.5311.8912G#
1027:161.6875905.87-22.77-23A
117:41.75968.83-59.81-60A#
1215:81.8751088.27-40.37-40B

Play Tuning

Play heptatonic scale equivalent to harmonics 7-13

Play octatonic scale equivalent to harmonics 8-15 bar chart

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

Odd limit 39
HC = 13.4

Consists of:
 3 (4)5 (2)7 (2)11 (2)13
Squares3252   
Cubes33    
Totals94221

2004 by David J. Finnamore
tuning@elvenminstrel.com