676/675: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = island comma, parizekma
| Ratio = 676/675
| Color name = 3oogg2, bithogu 2nd,<br>Bithogu comma
| Monzo = 2 -3 -2 0 2
| Comma = yes
| Cents = 2.5628
| Name = Island Comma
| Color name = Bithogu
| FJS name =
| Sound =  
}}
}}


'''676/675''' is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth. It is tempered out in any edo where the perfect fourth can be divided into two equal halves, making [[The_Archipelago|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.


[[Category:13-limit]]
== Etymology ==
[[Category:Unnoticeable_comma]]
The name ''island comma'' was given by [[Mike Battaglia]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95448.html#95608 Yahoo! Tuning Group | ''Parizekmic temperament?'']</ref>.
[[Category:Interseptimal]]
 
<blockquote>
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.
</blockquote>
—Mike Battaglia
 
== See also ==
* [[Island chords]]
* [[The Archipelago]]
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]
 
== Notes ==
 
[[Category:Island]]
[[Category:Commas named for their regular temperament properties]]

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