Tuning Methods

Harmonic Series Tunings

Composites Only

15-57

This tuning also has the lowest harmonic complexity in this series of composites only tunings. As you might expect, with its starting composite of 3x5, it also has the most common tones. The degree corresponding to harmonic 49 is the only one that doesn't have a factor in common with other tones in the scale. However, it's still a very violent tuning, with a very strong curvature of the spine, so to speak.

A red number in the Rounded Tuning Table column flags it as beyond the +/-99 cent limit set by some hardware synthesizer tuning tables.

Scale
Degree
Har-
monic
 Ratio QuotientCentsTuning
Table
Rounded
Tuning
Table
Note
Name
1151:110.00-116.76-117C
23311:101.1165.00-51.75-52C#
3357:61.166666667266.87-49.89-50D
43913:101.3454.2137.4637D#
5217:51.4582.5165.7566E
6453:21.5701.9685.2085F
74949:301.633333333849.38132.62133F#
8255:31.666666667884.3667.6068G
95117:101.7918.641.882G#
10279:51.81017.600.841A
115511:61.8333333331049.36-67.40-67A#
125719:101.91111.20-105.56-106B

Play Tuning bar chart

 
Largest step size:187.34 c (39:35)
Smallest step size:31.77 c (55:54)
Number of step sizes:12 
Prime Limit:19 
Odd Limit:49 
HC = 25.8 

2005 by David J. Finnamore
tuning@elvenminstrel.com