Tuning Methods

Prime Limit Otonal Tunings

7-limit Full

This is the lowest-limit PLOT to offer a complete harmonic fragment as an octave-equivalent pentatonic scale: 5-9.

Scale
Degree
Num:DenQuotientCentsTuning
Table
Rounded
Tuning
Table
Note
Name
11:110.0012.0412C
2135:1281.054687592.184.224C#
39:81.125203.9115.9516D
475:641.171875274.58-13.38-13D#
55:41.25386.31-1.65-2E
621:161.3125470.78-17.18-17F
745:321.40625590.222.262F#
83:21.5701.9613.9914G
925:161.5625772.63-15.33-15G#
1027:161.6875905.8717.9018A
117:41.75968.83-19.14-19A#
1215:81.8751088.270.310B

Play Tuning

Play pentatonic scale comprising complete harmonic fragment 5-9 bar chart

Largest step size:133.24 c (27:25)
Smallest step size:62.96 c (28:27)
Number of step sizes:7 

Odd limit 135
HC = 8.5

This tuning makes a slightly asymmetrical 3-D lattice, like a T that
fell over and broke its right arm:

 25--75    
 | |    
 5--15--45--135
 | | | |
 1--3--9--27
 / /    
7--21     

2004 by David J. Finnamore
tuning@elvenminstrel.com