Monzisma: Difference between revisions

Aura (talk | contribs)
another relationship between 5-limit commas defined in part by this comma
Eufalesio (talk | contribs)
More comma relations
 
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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 450 359 962 737 049 600 / <br>450 283 905 890 997 363
| Ratio = 450 359 962 737 049 600 / <br>450 283 905 890 997 363
| Monzo = 54 -37 2
| Monzo = 54 -37 2
| Cents = 0.29240
| Name = monzisma
| Name = monzisma
| Color name =  
| Color name = s<sup>5</sup>yy4, quinsa-yoyo 4th
| FJS name =
| Comma = yes
| Sound =  
}}
}}


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 [[schisma]] and the [[counterschisma]], and the difference between a stack of three schismas and the [[amity comma]], as well as the difference between a stack of five schismas and the [[semicomma]]. Tempering it out leads to [[Very_high_accuracy_temperaments #Monzismic|monzismic temperament]].  
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]]. 
 
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 ==
* [[Unnoticeable comma]]
* [[Unnoticeable comma]]


[[Category:5-limit]]
== External links ==
[[Category:Unnoticeable comma]]
* [http://tonalsoft.com/enc/m/monzisma.aspx Tonalsoft Encylopedia | ''Monzisma'']
* [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_22165.html Yahoo! Tuning Group | ''Re: What is a monzisma?'']
 
[[Category:Monzismic]]
[[Category:Commas named after composers]]
[[Category:Commas named after music theorists]]