676/675

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Interval information
Ratio 676/675
Factorization 22 × 3-3 × 5-2 × 132
Monzo [2 -3 -2 0 0 2
Size in cents 2.5628932¢
Names island comma,
parizeksma
Color name Bithogu
FJS name [math]\text{dd2}^{13,13}_{5,5}[/math]
Special properties square superparticular,
reduced
Tenney height (log2 n⋅d) 18.7996
Weil height (max(n, d)) 676
Benedetti height (n⋅d) 456300
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.42687 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 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