Tuning Methods

Harmonic Series Tunings

Primes Only

37-83

A red number in the Rounded Tuning Table column flags it as beyond the +/-99 cent limit set by some hardware synthesizer tuning tables. This is a particularly violent tuning, with perhaps more contrast in step sizes than any other twelve-tone primes-only harmonic fragment tuning. Looking at the bar chart, you might say it has scoliosis.

Scale
Degree
Har-
monic
 Ratio QuotientCentsTuning
Table
Rounded
Tuning
Table
Note
Name
1371:110.00-16.02-16C
27979:741.067567568113.19-2.83-3C#
34141:371.108108108177.72-38.30-38D
48383:741.121621622198.70-117.32-117D#
54343:371.162162162260.17-155.85-156E
64747:371.27027027414.16-101.86-102F
75353:371.432432432622.166.146F#
85959:371.594594595807.8391.8192G
96161:371.648648649865.5449.5250G#
106767371.8108108111027.96111.94112A
117171:371.9189189191128.35112.33112A#
127373:371.9729729731176.4560.4360B

Play Tuning bar chart

 
Largest step size:208.00 c (53:47)
Smallest step size:20.98 c (83:82)
Number of step sizes:12 

HC = 45.0


2005 by David J. Finnamore
tuning@elvenminstrel.com