676/675: Difference between revisions

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

Revision as of 07:23, 14 January 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 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 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