405/392: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
|Ratio = 405/392
| Ratio = 405/392
|Name = greenwoodma
| Name = greenwoodma
|Color name = rry-2, ruruyo negative 2nd
| Color name = rry-2, ruruyo negative 2nd
|Comma = yes
| Comma = yes
}}
}}
'''405/392''', the '''greenwoodma''', is a [[7-limit]] [[medium comma]]. Tempering it out, this leads to the [[greenwoodmic temperaments]].
'''405/392''', the '''greenwoodma''', is a [[medium comma|medium]] [[7-limit]] [[comma]].  


==Sagittal notation==
== Temperaments ==
[[Tempering out]] this comma leads to the '''greenwoodmic temperament'''. See [[Greenwoodmic temperaments]] for a collection of rank-2 temperaments where it is tempered out.
 
== Notation ==
=== Sagittal notation ===
In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal | )\!/ }} and is called the '''49/5 medium diesis''', or '''49/5M''' for short, because the simplest interval it notates is 49/5 = 7×7/5 (equiv. 49/40), as for example in C-E{{nbhsp}}{{sagittal | )\!/ }}. The upward version is called '''5/49M''' or '''49/5M up''' and is represented by {{sagittal| )/|\ }}.  
In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal | )\!/ }} and is called the '''49/5 medium diesis''', or '''49/5M''' for short, because the simplest interval it notates is 49/5 = 7×7/5 (equiv. 49/40), as for example in C-E{{nbhsp}}{{sagittal | )\!/ }}. The upward version is called '''5/49M''' or '''49/5M up''' and is represented by {{sagittal| )/|\ }}.  


[[Category:Greenwoodmic]]
[[Category:Greenwoodmic]]
[[Category:Commas with unknown etymology]]
[[Category:Commas with unknown etymology]]
{{todo|expand}}
{{Todo| expand }}

Revision as of 11:41, 6 January 2025

Interval information
Ratio 405/392
Factorization 2-3 × 34 × 5 × 7-2
Monzo [-3 4 1 -2
Size in cents 56.4819¢
Name greenwoodma
Color name rry-2, ruruyo negative 2nd
FJS name [math]\displaystyle{ \text{d}{-2}^{5}_{7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 17.2765
Weil norm (log2 max(n, d)) 17.3236
Wilson norm (sopfr(nd)) 37
Comma size medium
Open this interval in xen-calc

405/392, the greenwoodma, is a medium 7-limit comma.

Temperaments

Tempering out this comma leads to the greenwoodmic temperament. See Greenwoodmic temperaments for a collection of rank-2 temperaments where it is tempered out.

Notation

Sagittal notation

In the Sagittal system, the downward version of this comma (possibly tempered) is represented by the sagittal and is called the 49/5 medium diesis, or 49/5M for short, because the simplest interval it notates is 49/5 = 7×7/5 (equiv. 49/40), as for example in C-E⁠ ⁠. The upward version is called 5/49M or 49/5M up and is represented by .