Meter: Difference between revisions

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{{Infobox Interval

| Ratio = 703125/702464

| Name = meter, metric comma, ~~meter comma~~

| Name = meter, metric comma

| Color name = Lr3y7-4, latriru-asepyo negative 4th

| Comma = yes

}}

The '''meter''', also known as the '''metric comma''' ~~or the '''meter comma'''~~, is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] with ~~a ratio of '''703125/702464''' and~~ a value of approximately 1.6 ~~cents~~. It is the difference between a stack of three [[225/224|septimal kleismas]] and a [[81/80|syntonic comma]].

The '''meter''', also known as the '''metric comma''' ({{monzo|legend=1| -11 2 7 -3 }}, [[ratio]]: 703125/702464), is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] with a value of approximately 1.6 [[cent]]s. It is the difference between a stack of three [[225/224|septimal kleismas]] and a [[81/80|syntonic comma]].

== Temperaments ==

Tempering it out leads to the '''metric temperament''', which splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125|septimal semicomma]].

Tempering it out leads to the '''metric temperament''', which splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125|septimal semicomma]]. It is also tempered out in [[septimal meantone]], but this is a trivial case since 81/80 and 225/224 are both tempered out.

See [[metric microtemperaments]] for a collection of rank-2 temperaments where it is tempered out.

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[[Comma list]]: 703125/702464

~~[[Mapping]]: [~~{{~~val~~| 1 0 2 1 ~~}}, {{val~~| 0 1 1 3 ~~}}, {{val~~| 0 0 -3 -7 }}]

[[Optimal tuning]] ([[POTE]]): ~3/2 = 701.8766, ~75/56 = 505.2613

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[[Badness]]: 0.1498 × 10-3

== ~~See also~~ ==

== Etymology ==

* [[~~Unnoticeable~~ comma]]

This comma was first named as ''tertiaendec'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[tertiaseptal]]'' and ''[[enneadecal]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group | ''Seven limit comma names from pairs of temperament names'']</ref>. It is not clear how it later became ''meter'' in 2010<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13579 Revision as of 18:42, 1 June 2010 by Wikispaces>genewardsmith].</ref>.

== Notes ==

[[Category:Metric (temperament)]]

[[Category:Commas with unknown etymology]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 703125/702464
-| Name = meter, metric comma, meter comma
+| Name = meter, metric comma
+| Color name = Lr<sup>3</sup>y<sup>7</sup>-4, latriru-asepyo negative 4th
 | Comma = yes
 }}
-The '''meter''', also known as the '''metric comma''' or the '''meter comma''', is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] with a ratio of '''703125/702464''' and a value of approximately 1.6 cents. It is the difference between a stack of three [[225/224|septimal kleismas]] and a [[81/80|syntonic comma]].
+The '''meter''', also known as the '''metric comma''' ({{monzo|legend=1| -11 2 7 -3 }}, [[ratio]]: 703125/702464), is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] with a value of approximately 1.6 [[cent]]s. It is the difference between a stack of three [[225/224|septimal kleismas]] and a [[81/80|syntonic comma]].
 == Temperaments ==
-Tempering it out leads to the '''metric temperament''', which splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125|septimal semicomma]].
+Tempering it out leads to the '''metric temperament''', which splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125|septimal semicomma]]. It is also tempered out in [[septimal meantone]], but this is a trivial case since 81/80 and 225/224 are both tempered out.
 See [[metric microtemperaments]] for a collection of rank-2 temperaments where it is tempered out.
@@ Line 16: / Line 17: @@
 [[Comma list]]: 703125/702464
-[[Mapping]]: [{{val| 1 0 2 1 }}, {{val| 0 1 1 3 }}, {{val| 0 0 -3 -7 }}]
+{{Mapping|legend=1| 1 0 2 1 | 0 1 1 3 | 0 0 -3 -7 }}
 [[Optimal tuning]] ([[POTE]]): ~3/2 = 701.8766, ~75/56 = 505.2613
@@ Line 24: / Line 25: @@
 [[Badness]]: 0.1498 × 10<sup>-3</sup>
-== See also ==
+== Etymology ==
-* [[Unnoticeable comma]]
+This comma was first named as ''tertiaendec'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[tertiaseptal]]'' and ''[[enneadecal]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group | ''Seven limit comma names from pairs of temperament names'']</ref>. It is not clear how it later became ''meter'' in 2010<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13579 Revision as of 18:42, 1 June 2010 by Wikispaces>genewardsmith].</ref>.
+== Notes ==
 [[Category:Metric (temperament)]]
+[[Category:Commas with unknown etymology]]