676/675
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Ratio | 676/675 |
Factorization | 2^{2} × 3^{-3} × 5^{-2} × 13^{2} |
Monzo | [2 -3 -2 0 0 2⟩ |
Size in cents | 2.5628932¢ |
Names | island comma, parizeksma |
Color name | 3oogg2, bithogu 2nd, Bithogu comma |
FJS name | [math]\text{dd2}^{13,13}_{5,5}[/math] |
Special properties | square superparticular, reduced |
Tenney height (log_{2} nd) | 18.7996 |
Weil height (log_{2} max(n, d)) | 18.8018 |
Wilson height (sopfr (nd)) | 49 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.26016 bits |
Comma size | unnoticeable |
S-expressions | S26, S13 / S15 |
open this interval in xen-calc |
676/675, otherwise known as the island comma, or the parizeksma, is the difference between two 15/13's and a 4/3 perfect fourth, and also between 26/25 and 27/26. Tempering this comma out divides the perfect fourth into two equal halves, making island chords possible.
Etymology
The name island comma was given by Mike Battaglia in 2011^{[1]}.
The 9-note MOS sounds like you're on some kind of tropical island off the coast of Barbados playing jubilant sun-music with the natives or something. More specifically, I feel like it takes the "island" feel of 5-equal and expands it out into diatonic and chromatic versions.
—Mike Battaglia