Tuning Methods

Harmonic Series Tunings

Primes Only

47-101

This is the smoothest twelve-tone primes-only harmonic fragment tuning, in terms of similarity of step sizes.

Scale
Degree
Har-
monic
  Ratio  QuotientCentsTuning
Table
Rounded
Tuning
Table
Note
Name
1471:110.0024.0824C
29797:941.03191489454.39-21.53-22C#
3101101:941.074468085124.35-51.57-52D
45353:471.127659574208.00-67.92-68D#
55959:471.255319149393.6717.7518E
66161:471.29787234451.38-24.54-25F
76767:471.425531915613.8037.8838F#
87171:471.510638298714.1938.2738G
97373:471.553191489762.28-13.63-14G#
107979:471.680851064899.0323.1123A
118383:471.765957447984.548.629A#
128989:471.8936170211105.3729.4629B

Play Tuning bar chart

 
Largest step size:185.67 c (59:53)
Smallest step size:48.09 c (73:71)
Number of step sizes:12 

HC = 47.4


2005 by David J. Finnamore
tuning@elvenminstrel.com