Septimal enneadeca: Difference between revisions

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{{Infobox Interval

| Ratio = 1 570 042 899 082 081 611 640 534 563 / 1 566 652 225 014 704 215 735 402 496

| Monzo = -37 57 0 -19

| Name = septimal enneadeca

| Comma = yes

}}

{{~~Monzo~~| -37 57 0 -19 }}~~, the '''septimal enneadeca''' or '''19-tone-comma'''~~, is an interval of 2.~~816 cents~~ which is the amount by which nineteen [[28/27]]'s fall short of an octave, that is, 2/(28/27)19.

The '''septimal enneadeca''' ({{monzo|legend=1| -37 57 0 -19 }}), is an interval of 3.743 [[cent]]s which is the amount by which nineteen [[28/27]]'s fall short of an octave, that is, 2/(28/27)19.

== Temperaments ==

~~=== Septimal enneadecal ===~~

Because of how accurately [[19edo]] approximates [[6/5]], there is no real reason to not also temper out the [[enneadeca]] with the septimal enneadeca, leading to the 7-limit version of [[enneadecal]].

~~This temperament~~ is a no~~-5's temperament in~~ the ~~7-limit; contrast with 7-limit~~ [[~~enneadecal~~]], ~~which adds a mapping for 5 by tempering~~ the [[~~enneadeca~~]].

~~[[Subgroup]]: 2.3.7~~

==== Enneadecal ====

See [[Ragismic microtemperaments #Enneadecal]].

~~Mapping: {{Mapping| 19 0 -37 | 0 1 3}}~~

~~[[CTE]] generators: ~28/27 = 1\19, ~3 = 1901.906~~

~~[[Patent val]] EDOs < 400: 19, 152, 171, 190, 323~~

==== [[Enneadecal]] ====

~~[[Subgroup]]: 2.3.5.7~~

~~{{Mapping|legend=1| 19 0 14 -37 | 0 1 1 3 }}~~

See: [[Enneadecal]]

== See also ==

@@ Line 1: / Line 1: @@
 {{Infobox Interval
+| Ratio = 1 570 042 899 082 081 611 640 534 563 /<br>1 566 652 225 014 704 215 735 402 496
 | Monzo = -37 57 0 -19
 | Name = septimal enneadeca
 | Comma = yes
 }}
-{{Monzo| -37 57 0 -19 }}, the '''septimal enneadeca''' or '''19-tone-comma''', is an interval of 2.816 cents which is the amount by which nineteen [[28/27]]'s fall short of an octave, that is, 2/(28/27)<sup>19</sup>.
+The '''septimal enneadeca''' ({{monzo|legend=1| -37 57 0 -19 }}), is an interval of 3.743 [[cent]]s which is the amount by which nineteen [[28/27]]'s fall short of an octave, that is, 2/(28/27)<sup>19</sup>.
 == Temperaments ==
-=== Septimal enneadecal ===
+Because of how accurately [[19edo]] approximates [[6/5]], there is no real reason to not also temper out the [[enneadeca]] with the septimal enneadeca, leading to the 7-limit version of [[enneadecal]].
-This temperament is a no-5's temperament in the 7-limit; contrast with 7-limit [[enneadecal]], which adds a mapping for 5 by tempering the [[enneadeca]].
-[[Subgroup]]: 2.3.7
+==== Enneadecal ====
+See [[Ragismic microtemperaments #Enneadecal]].
-Mapping: {{Mapping| 19 0 -37 | 0 1 3}}
-[[CTE]] generators: ~28/27 = 1\19, ~3 = 1901.906
-[[Patent val]] EDOs < 400: 19, 152, 171, 190, 323
-==== [[Enneadecal]] ====
-[[Subgroup]]: 2.3.5.7
-{{Mapping|legend=1| 19 0 14 -37 | 0 1 1 3 }}
-See: [[Enneadecal]]
 == See also ==