676/675
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Ratio
676/675
Factorization
22 × 3-3 × 5-2 × 132
Monzo
[2 -3 -2 0 0 2⟩
Size in cents
2.562893¢
Names
island comma,
parizekma
Color name
3oogg2, bithogu 2nd,
Bithogu comma
FJS name
[math]\text{dd2}^{13,13}_{5,5}[/math]
Special properties
square superparticular,
reduced
Tenney height (log2 nd)
18.7996
Weil height (log2 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
| Interval information |
parizekma
Bithogu comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
S13 / S15
676/675, otherwise known as the island comma, or the parizekma, 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