Monzisma: Difference between revisions

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Update links as most info is compactly described by the continuum
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Added another way to get to the monzisma.
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The '''monzisma''' is a [[5-limit]] [[unnoticeable comma]] measuring about 0.29 cents.  Although difficult to grasp at a glance, it is the difference between the a stack of two [[schisma]]s and the [[53-comma]]. Tempering it out leads to [[Very high accuracy temperaments #Monzismic|monzismic temperament]], as part of the [[Schismic-Mercator equivalence continuum]].  
The '''monzisma''' is a [[5-limit]] [[unnoticeable comma]] measuring about 0.29 cents.  Although difficult to grasp at a glance, it is the difference between the a stack of two [[schisma]]s and the [[53-comma]]. Tempering it out leads to [[Very high accuracy temperaments #Monzismic|monzismic temperament]], as part of the [[Schismic-Mercator equivalence continuum]].  
A possibly more accessible way to grasp this comma is as the difference between a stack of seven [[256/243]] Pythagorean limmas and a [[36/25]] tritone.


== See also ==
== See also ==

Revision as of 06:05, 18 November 2021

Interval information
Ratio 450 359 962 737 049 600 /
450 283 905 890 997 363
Factorization 254 × 3-37 × 52
Monzo [54 -37 2
Size in cents 0.2923957¢
Name monzisma
FJS name [math]\displaystyle{ \text{dddd4}^{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 117.287
Weil norm (log2 max(n, d)) 117.288
Wilson norm (sopfr(nd)) 229
Open this interval in xen-calc

The monzisma is a 5-limit unnoticeable comma measuring about 0.29 cents. Although difficult to grasp at a glance, it is the difference between the a stack of two schismas and the 53-comma. Tempering it out leads to monzismic temperament, as part of the Schismic-Mercator equivalence continuum.

A possibly more accessible way to grasp this comma is as the difference between a stack of seven 256/243 Pythagorean limmas and a 36/25 tritone.

See also