676/675: Difference between revisions

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'''676/675''', otherwise known as the '''island comma''', 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''', is the difference between two [[15/13]]'s and a [[4/3]] perfect fourth, and also between [[26/25]] and [[27/26]]. It is tempered out in any edo where the perfect fourth can be divided into two equal halves, making [[island tetrad|island chords]] possible.
 
== See also ==
* [[Island tetrad]]
* [[The Archipelago]]
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]


[[Category:13-limit]]
[[Category:13-limit]]
[[Category:Unnoticeable comma]]
[[Category:Unnoticeable comma]]
[[Category:Superparticular]]
[[Category:Interseptimal]]
[[Category:Interseptimal]]
[[Category:Island]]

Revision as of 02:39, 18 November 2020

Interval information
Ratio 676/675
Factorization 22 × 3-3 × 5-2 × 132
Monzo [2 -3 -2 0 0 2
Size in cents 2.562893¢
Name island comma
Color name Bithogu
FJS name [math]\displaystyle{ \text{dd2}^{169}_{25} }[/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
Open this interval in xen-calc

676/675, otherwise known as the island comma, is the difference between two 15/13's and a 4/3 perfect fourth, and also between 26/25 and 27/26. It is tempered out in any edo where the perfect fourth can be divided into two equal halves, making island chords possible.

See also