Monzisma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Plumtree (talk | contribs)
m Normalising usage of Infobox Interval
Overthink (talk | contribs)
+ relation of comma
 
(5 intermediate revisions by 4 users not shown)
Line 3: Line 3:
| Monzo = 54 -37 2
| Monzo = 54 -37 2
| Name = monzisma
| Name = monzisma
| Color name = s<sup>5</sup>yy4, quinsa-yoyo 4th
| Comma = yes
| Comma = yes
}}
}}


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.  
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.  
Line 12: Line 13:
== See also ==
== See also ==
* [[Unnoticeable comma]]
* [[Unnoticeable comma]]
== External links ==
* [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:Monzismic]]
[[Category:Commas named after composers]]
[[Category:Commas named after music theorists]]

Latest revision as of 17:49, 23 November 2025

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
Color name s5yy4, quinsa-yoyo 4th
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
Comma size unnoticeable
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. 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.

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

External links