Tuning Methods

Harmonic Series Tunings

Primes Only

59-107

After this point, any 12 consecutive primes leave a large gap at the end of the octave.

Scale
Degree
Har-
monic
 Ratio QuotientCentsTuning
Table
Rounded
Tuning
Table
Note
Name
1591:110.003.203C
26161:591.03389830557.71-39.08-39C#
36767:591.13559322220.1423.3423D
47171:591.203389831320.5223.7324D#
57373:591.237288136368.62-28.18-28E
67979:591.338983051505.378.579F
78383:591.406779661590.88-5.92-6F#
88989:591.508474576711.7114.9115G
99797:591.644067797860.7263.9364G#
10101101:591.711864407930.6833.8934A
11103103:591.745762712964.63-32.17-32A#
12107107:591.8135593221030.59-66.21-66B

Play Tuning bar chart

 
Largest step size:169.41 c (118:107)
Smallest step size:33.95 c (103:101)
Number of step sizes:12 

HC = 48.6


2005 by David J. Finnamore
tuning@elvenminstrel.com