108:135:160:192
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Harmonics
108:135:160:192
Subharmonics
1/(80:64:54:45)
Intervals from root
1/1 – 5/4 – 40/27 – 16/9
Cents from root
0¢ 386¢ 680¢ 996¢
Step intervals
5/4, 32/27, 6/5
Step cents
386¢, 294¢, 316¢
Color name
yo add-7 yo-5 or y,7(y5)
Prime limit
5
Genus
33 ⋅ 5 (135)
Intervallic odd limit
45
Otonal odd limit
135
Utonal odd limit
45
Consistent edos (d≥2)
12edo*, 41edo*, 53edo**, 65edo*
| Chord information |
108:135:160:192 is a dominant seventh chord found on the dominant scale degree (V or 3⁄2) of a diatonic scale with the second degree tuned a comma lower than in Zarlino (10/9 instead of 9/8), such as in left-handed nicetone. It combines a 5/4 (5-limit) major third with a 16/9 (3-limit) minor seventh, creating a 64/45 tritone between the two. Since each of the steps relates to at least one other by an interval in the 9-odd-limit, it is a 9-odd condissonant chord.
Because this chord contains a 40/27 grave fifth instead of a 3/2 perfect fifth, it has more dissonance than would be present in the closely-related 36:45:54:64.
In meantone temperament, this chord is tempered to be the same as 36:45:54:64 and 20:25:30:36.