676/675: Difference between revisions

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Aura (talk | contribs)
Added the missing 11 value to the Monzo
Aura (talk | contribs)
Added comma name to the text and changed capitalization in infobox
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| Monzo = 2 -3 -2 0 0 2
| Monzo = 2 -3 -2 0 0 2
| Cents = 2.5628
| Cents = 2.5628
| Name = Island Comma
| Name = island comma
| Color name = Bithogu
| Color name = Bithogu
| FJS name = dd2<sup>169</sup><sub>25</sub>
| FJS name = dd2<sup>169</sup><sub>25</sub>
Line 10: Line 10:
}}
}}


'''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''', 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.


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

Revision as of 00:40, 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. It is tempered out in any edo where the perfect fourth can be divided into two equal halves, making island chords possible.