DescriptionSize of intervals in C-based asymmetric 5-limit tuning.PNG
English: Sizes in cents of the 144 intervals in the C-based 5-limit tuning system (asymmetric scale). The selected ratios are listed below. Bold font indicates just intervals. The values were accurately computed using Microsoft Excel, then rounded to integers. The image was produced using Microsoft Excel and captured with Microsoft Snipping Tool.
The frequency ratios selected for this 12-tone scale, and the elementary factors from which they were computed, are shown in this table:
Asymmetric scale
Factor
1/9
1/3
1
3
9
5
A 5/3
E 5/4
B 15/8
F♯ 45/32
1
F 4/3
C 1
G 3/2
D 9/8
1/5
D♭ 16/15
A♭ 8/5
E♭ 6/5
B♭ 9/5
Wolf intervals are operationally defined herein as intervals composed of 3, 4, 5, 7, 8, or 9 semitones (i.e. major and minor thirds or sixths, perfect fourths or fifths, and their enharmonic equivalents) the size of which deviates by more than one syntonic comma (about 21.5 cents) from the corresponding justly intonated interval. Intervals made up of 1, 2, 6, 10, or 11 semitones (e.g. major and minor seconds or sevenths, tritones, and their enharmonic equivalents) are considered to be dissonant even when they are justly tuned, thus they are not marked as wolf intervals even when they deviate from just intonation by more than one syntonic comma.
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{{Information |Description={{en|1=Sizes in cents of the 144 intervals in the C-based 5-limit tuning system. The selected ratios are listed below. Bold font indicates just intervals. The values were accurately computed using Microsoft Excel, then rounded t
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