Tuning Methods

Prime Limit Otonal Tunings

13-limit Full

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
11:110.007.217C
233:321.0312553.27-39.52-40C#
39:81.125203.9111.1211D
439:321.21875342.4849.6950D#
55:41.25386.31-6.48-6E
621:161.3125470.78-22.01-22F
711:81.375551.32-41.48-41F#
83:21.5701.969.169G
913:81.625840.5347.7348G#
1027:161.6875905.8713.0713A
117:41.75968.83-23.97-24A#
1215:81.8751088.27-4.52-5B

Play Tuning

Play heptatonic scale equivalent to harmonics 7-13

Play octatonic scale equivalent to harmonics 8-15 bar chart

Largest step size:150.64 c (12:11)
Smallest step size:43.83 c (40:39)
Number of step sizes:10 

Odd limit 33
HC = 11.8

Consists of:
 3 (5)5 (2)7 (2)11 (2)13 (2)
Squares32    
Cubes33    
Totals102222

2004 by David J. Finnamore
tuning@elvenminstrel.com