3388/3375: Difference between revisions

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The '''myhemiwell comma''', 3388/3375, is a [[small comma|small]] [[11-limit]] [[comma]] equal to the amount by which a stack consisting of three [[15/11]]s and one [[11/7]] fall short of two octaves. By tempering it out is defined the '''myhemiwell temperament''', which enables the [[myhemiwell chords]].
The '''myhemiwell comma''', 3388/3375, is a [[small comma|small]] [[11-limit]] [[comma]] equal to the amount by which a stack consisting of three [[15/11]]s and one [[11/7]] fall short of two octaves. By tempering it out is defined the '''myhemiwell temperament''', which enables the [[myhemiwell chords]].


== Temperament ==
Tempering out this comma results in the rank-4 myhemiwell temperament.
Mapping: [(1 0 0 0 -1] (0 1 0 1 1] (0 0 1 1 1] (0 0 0 2 -1])
TE tuning map: ~2=1199.898, ~3=1902.338, ~5=2787.136, ~7=3368.425, ~11=4150.101
[[Category:Myhemiwell]]
[[Category:Myhemiwell]]
[[Category:Commas named by combining multiple temperament names]]
[[Category:Commas named by combining multiple temperament names]]

Latest revision as of 12:02, 28 February 2025

Interval information
Ratio 3388/3375
Factorization 22 × 3-3 × 5-3 × 7 × 112
Monzo [2 -3 -3 1 2
Size in cents 6.655647¢
Name myhemiwell comma
Color name 1oozg32, lolozotrigu second
FJS name [math]\displaystyle{ \text{dd2}^{7,11,11}_{5,5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 23.4469
Weil height (log2 max(n, d)) 23.4524
Wilson height (sopfr(nd)) 57
Comma size small
Open this interval in xen-calc

The myhemiwell comma, 3388/3375, is a small 11-limit comma equal to the amount by which a stack consisting of three 15/11s and one 11/7 fall short of two octaves. By tempering it out is defined the myhemiwell temperament, which enables the myhemiwell chords.

Temperament

Tempering out this comma results in the rank-4 myhemiwell temperament.

Mapping: [(1 0 0 0 -1] (0 1 0 1 1] (0 0 1 1 1] (0 0 0 2 -1])

TE tuning map: ~2=1199.898, ~3=1902.338, ~5=2787.136, ~7=3368.425, ~11=4150.101