676/675: Difference between revisions

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Fredg999 category edits (talk | contribs)
m This itself isn't an interseptimal interval
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* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:Interseptimal intervals]]
[[Category:Island]]
[[Category:Island]]

Revision as of 06:53, 13 July 2023

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,
parizeksma
Color name 3oogg2, bithogu 2nd,
Bithogu comma
FJS name [math]\displaystyle{ \text{dd2}^{13,13}_{5,5} }[/math]
Special properties square superparticular,
reduced
Tenney norm (log2 nd) 18.7996
Weil norm (log2 max(n, d)) 18.8018
Wilson norm (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 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.

See also