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 [[ | 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 == | == See also == | ||
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[[Category:Monzismic]] | [[Category:Monzismic]] | ||
[[Category:Commas named after composers]] | |||
[[Category:Commas named after music theorists]] | |||
Latest revision as of 11:39, 5 September 2026
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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 schismas and the 53-comma. It is also the difference between three pythagorean commas and 25/24. Tempering it out leads to monzismic temperament, as part of the schismic–Mercator equivalence continuum.
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 commas 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.