Tuning Methods

Prime Limit Otonal Tunings

7-limit Exact

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
11:110.00-68.05-68C
235:321.0546875155.14-12.91-13C#
39:81.125203.91-64.14-64D
45:41.25386.3118.2618D#
521:161.3125470.782.733E
645:321.40625590.2222.1722F
73:21.5701.9633.9034F#
825:161.5625772.634.575G
927:161.6875905.8737.8138G#
107:41.75968.830.771A
1115:81.8751088.2720.2120A#
1263:321.968751172.744.685B

Play Tuning

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

Largest step size:182.40 (10:9)
Smallest step size:27.26 (64:63)
Number of step sizes:10 

Odd limit 63. This is the lowest-limit PLOT to have a two-digit odd limit.
HC = 8.5

This tuning makes a 3-D lattice with just a hint of symmetry:

  25         
  |         
  5----15----45   
 /|  |  |   
35 1----3----9----27
|/  /  /    
7----21----63     

2004 by David J. Finnamore
tuning@elvenminstrel.com