Dodecoid comma: Difference between revisions

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'''536870912/512578125''', the '''dodecoid comma''', is a [[5-limit]] [[medium comma]] by which a stack of 7 [[16/15]] exceeds [[3/2]]. Tempering out this comma result in the "dodecoid temperament" that has a generator slightly larger than 1 step of [[12edo]].
'''536870912/512578125''', the '''dodecoid comma''', is a [[5-limit]] [[medium comma]] by which a stack of 7 [[16/15]] exceeds [[3/2]]. Tempering out this comma result in the "dodecoid temperament" that has a generator slightly larger than 1 step of [[12edo]].


[[Category:Commas named for their regular temperament properties]]
[[Category:Commas named for their periods per equave]]

Latest revision as of 00:17, 4 November 2024

Interval information
Ratio 536870912/512578125
Factorization 229 × 3-8 × 5-7
Monzo [29 -8 -7⟩
Size in cents 80.164¢
Name dodecoid comma
Color name sasa-sepgu 4th, ssg74
FJS name [math]\displaystyle{ \text{5d4}_{5,5,5,5,5,5,5} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 57.9332
Weil height (log2 max(n, d)) 58
Wilson height (sopfr(nd)) 117
Comma size medium
Open this interval in xen-calc

536870912/512578125, the dodecoid comma, is a 5-limit medium comma by which a stack of 7 16/15 exceeds 3/2. Tempering out this comma result in the "dodecoid temperament" that has a generator slightly larger than 1 step of 12edo.

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