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== Temperaments ==

Tempering out this comma in the 17-limit results in the '''noellismic temperament''', ~~where~~ [[18/17]] is split into two equal parts, each representing 35/34~36/35. You may find a list of good equal temperaments that support ~~this temperament~~ below.

Tempering out this comma in the 17-limit results in the '''noellismic temperament''', or in the 2.3.5.7.17 subgroup, the '''noellic temperament'''. In either case [[18/17]] is split into two equal parts, each representing 35/34~36/35. You may find a list of good equal temperaments that support these temperaments below.

=== Noellismic ===

[[Subgroup]]: 2.3.5.7.11.13.17

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Mapping generators: ~2, ~3, ~5, ~7, ~11, ~13

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.0440, ~5/4 = 386.1228, ~7/4 = 968.5468, ~11/8 = 551.3179, ~13/8 = 840.5277

{{Val list|legend=1| 19eg, 22, 26, 27eg, 31, 41g, 45efg, 46, 68, 72, 103, 121, 140, 171, 190g, 212g, 217, 224, 270, 311, 414, 441, 460, 581, 995, 1265, 1648cd, 1846g, 1918d }}

=== Noellic ===

Subgroup: 2.3.5.7.17

Sval mapping:

<br>[{{val| 1 0 0 0 -3 }}

<br>{{val| 0 1 0 0 -2 }}

<br>{{val| 0 0 1 0 2 }}

<br>{{val| 0 0 0 1 2 }}

Sval mapping generators: ~2, ~3, ~5, ~7

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.0440, ~5/4 = 386.1228, ~7/4 = 968.5468

Optimal GPV sequence: {{val list| 19g, 22, 27g, 31, 41g, 46, 53, 68, 72, 99, 171, 581, 653, 752, 824, 995, 1576, 1747, 1918d }}

== Etymology ==

@@ Line 25: / Line 25: @@
 == Temperaments ==
-Tempering out this comma in the 17-limit results in the '''noellismic temperament''', where [[18/17]] is split into two equal parts, each representing 35/34~36/35. You may find a list of good equal temperaments that support this temperament below.
+Tempering out this comma in the 17-limit results in the '''noellismic temperament''', or in the 2.3.5.7.17 subgroup, the '''noellic temperament'''. In either case [[18/17]] is split into two equal parts, each representing 35/34~36/35. You may find a list of good equal temperaments that support these temperaments below.
+=== Noellismic ===
 [[Subgroup]]: 2.3.5.7.11.13.17
@@ Line 38: / Line 39: @@
 Mapping generators: ~2, ~3, ~5, ~7, ~11, ~13
+[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.0440, ~5/4 = 386.1228, ~7/4 = 968.5468, ~11/8 = 551.3179, ~13/8 = 840.5277
 {{Val list|legend=1| 19eg, 22, 26, 27eg, 31, 41g, 45efg, 46, 68, 72, 103, 121, 140, 171, 190g, 212g, 217, 224, 270, 311, 414, 441, 460, 581, 995, 1265, 1648cd, 1846g, 1918d }}
+=== Noellic ===
+Subgroup: 2.3.5.7.17
+Sval mapping:
+<br>[{{val| 1 0 0 0 -3 }}
+<br>{{val| 0 1 0 0 -2 }}
+<br>{{val| 0 0 1 0 2 }}
+<br>{{val| 0 0 0 1 2 }}
+Sval mapping generators: ~2, ~3, ~5, ~7
+Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.0440, ~5/4 = 386.1228, ~7/4 = 968.5468
+Optimal GPV sequence: {{val list| 19g, 22, 27g, 31, 41g, 46, 53, 68, 72, 99, 171, 581, 653, 752, 824, 995, 1576, 1747, 1918d }}
 == Etymology ==