Meter: Difference between revisions

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Rewrite by analogy with hemimean. Note that the page for this temperament has not existed but there might be in the future
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The '''meter comma''' is a 7-limit comma with a ratio of '''703125/702464''' and a [[monzo]] of {{monzo|-11 2 7 -3}}.  It is an [[unnoticeable comma]] of the [[7-limit]] with a value of approximately 1.62828 cents, and is significant as the difference between a stack of three [[225/224|septimal kleismas]] and a [[81/80|syntonic comma]]. Tempering it out leads to a form of '''metric temperament'''.
{{Infobox Interval
| Icon =
| Ratio = 703125/702464
| Monzo = -11 2 7 -3
| Cents = 1.62828
| Name = meter comma
| Color name =
| FJS name =
| Sound =
}}
 
The '''meter comma''' is a [[7-limit]] [[unnoticeable comma]] with a ratio of '''703125/702464''' and a value of approximately 1.62828 cents. It is the difference between a stack of three [[225/224|septimal kleismas]] and a [[81/80|syntonic comma]]. Tempering it out splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125|septimal semicomma]].  
 
== See also ==
* [[Metric family]]
* [[Metric microtemperaments]]
* [[Unnoticeable comma]]


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Unnoticeable comma]]
[[Category:Unnoticeable comma]]
[[Category:Metric]]

Revision as of 09:53, 9 October 2020

Interval information
Ratio 703125/702464
Factorization 2-11 × 32 × 57 × 7-3
Monzo [-11 2 7 -3
Size in cents 1.628279¢
Name meter comma
FJS name [math]\displaystyle{ \text{5d}{-4}^{5,5,5,5,5,5,5}_{7,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 38.8455
Weil norm (log2 max(n, d)) 38.8468
Wilson norm (sopfr(nd)) 84
Open this interval in xen-calc

The meter comma is a 7-limit unnoticeable comma with a ratio of 703125/702464 and a value of approximately 1.62828 cents. It is the difference between a stack of three septimal kleismas and a syntonic comma. Tempering it out splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the septimal semicomma.

See also