676/675: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = island comma, parizeksma
| Name = island comma, parizekma
| Color name = 3oogg2, bithogu 2nd,<br>Bithogu comma
| Color name = 3oogg2, bithogu 2nd,<br>Bithogu comma
| Comma = yes
| Comma = yes
}}
}}


'''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.
'''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 ==
== Etymology ==

Latest revision as of 23:34, 3 January 2025

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
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[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

See also

Notes