Quasiorwellisma: Difference between revisions

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'''29360128/29296875''', the '''quasiorwellisma''', is the difference between [[28/27]] and two [[magic comma]]s.
'''29360128/29296875''', the '''quasiorwellisma''', is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 3.73 [[cent]]s. It is the difference between [[7/6]] and a stack of ten [[5/4]]'s [[octave reduction|octave reduced]]. It is also the difference between [[28/27]] and a stack of two [[magic comma]]s.


This comma's namesake comes from the fact that [[quasiorwell]] tempers out this comma using a [[1024/875]] generator that is [[6144/6125]] sharper than the [[7/6]] orwell generator.
== Temperaments ==
[[Tempering out]] this comma in the [[7-limit]] results in the [[quasiorwellismic]] temperament. [[Quasiorwell]], a rank-2 temperament, tempers out this comma apart from the [[breedsma]], and is a full 7-limit temperament.


== Temperaments ==
== Etymology ==
Quasiorwell [[tempering out|tempers out]] this comma apart from the breedsma, and is a full 7-limit temperament.
This comma's namesake comes from the fact that quasiorwell tempers out this comma using a [[1024/875]] generator that is [[6144/6125]] sharper than the [[7/6]] orwell generator.


[[Category:Quasiorwellismic]]
[[Category:Quasiorwellismic]]
[[Category:Commas named after other creatives]]
[[Category:Commas named after other creatives]]

Latest revision as of 17:43, 5 March 2026

Interval information
Ratio 29360128/29296875
Factorization 222 × 3-1 × 5-10 × 7
Monzo [22 -1 -10 1
Size in cents 3.733767¢
Name quasiorwellisma
Color name szg104, sazoquinbigu 4th
FJS name [math]\displaystyle{ \text{6d4}^{7}_{5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 49.6116
Weil norm (log2 max(n, d)) 49.6147
Wilson norm (sopfr(nd)) 104
Comma size small
Open this interval in xen-calc

29360128/29296875, the quasiorwellisma, is a small 7-limit comma measuring about 3.73 cents. It is the difference between 7/6 and a stack of ten 5/4's octave reduced. It is also the difference between 28/27 and a stack of two magic commas.

Temperaments

Tempering out this comma in the 7-limit results in the quasiorwellismic temperament. Quasiorwell, a rank-2 temperament, tempers out this comma apart from the breedsma, and is a full 7-limit temperament.

Etymology

This comma's namesake comes from the fact that quasiorwell tempers out this comma using a 1024/875 generator that is 6144/6125 sharper than the 7/6 orwell generator.