676/675

Interval information

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]\displaystyle{ \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]\displaystyle{ \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 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.

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

See also

• Island chords
• The Archipelago
• Unnoticeable comma
• List of superparticular intervals