Monzisma: Difference between revisions

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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]]. It is also the difference between three [[pythagorean comma]]s and [[25/24]]. 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.

In the [[7-limit]], it can be expressed as the square root of the product of [[nanisma]] times [[ragisma]]. In the [[13-limit]], it can be expressed as the quotient between two [[tridecapyth comma]]<nowiki/>s and [[676/675]].

When tempered out, it halves the fourth or the tritave. 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 ==

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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]]. It is also the difference between three [[pythagorean comma]]s and [[25/24]]. 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.
+In the [[7-limit]], it can be expressed as the square root of the product of [[nanisma]] times [[ragisma]]. In the [[13-limit]], it can be expressed as the quotient between two [[tridecapyth comma]]<nowiki/>s and [[676/675]].
+When tempered out, it halves the fourth or the tritave. 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 ==