@@ Line 1: / Line 1: @@
-Extension for the many descendants of the diatonic. '''Bold''' MOSes support Pythagorean tuning. Italic names are new. Bigger scales are more important or named. Credit to Frostburn for original names.
+Extension for the many descendants of the diatonic. '''Bold''' MOSes support Pythagorean tuning. Italic names are new. Credit to Frostburn for original names.
 {| class="wikitable"
 |+MOS descendants
@@ Line 55: / Line 55: @@
 {| class="wikitable mw-collapsible mw-collapsed"
 |+Diatonic descendants
-|'''self'''
+!'''self'''
-|'''daughter'''
+!'''daughter'''
-|'''granddaughter'''
+!'''granddaughter'''
-|'''3rd descendant'''
+!'''3rd descendant'''
-|'''4th descendant'''
+!'''4th descendant'''
-|'''5th descendant'''
+!'''5th descendant'''
 |-
-| rowspan="64" |'''<big>diatonic</big>'''
+| rowspan="32" |'''diatonic'''
-<big>5L 2s</big>
+L 2s
-| rowspan="32" |'''<big>pychromatic</big>'''
+| rowspan="16" |'''pychromatic'''
-<big>5L 7s</big>
+L 7s
-| rowspan="16" |supharmonic
+| rowspan="8" |supharmonic
 L 12s
-| rowspan="8" |reinhardic
+| rowspan="4" |reinhardic
 L 17s
-| rowspan="4" |reinatonic
+| rowspan="2" |reinatonic
 L 22s
-| rowspan="2" |<small>pchro-reinatonic</small>
+|pchro-reinatonic
-<small>5L 27s</small>
-|-
+L 27s
 |-
-| rowspan="2" |<small>mchro-reinatonic</small>
+|mchro-reinatonic
-<small>27L 5s</small>
-|-
+L 5s
 |-
-| rowspan="4" |supytonic
+| rowspan="2" |''supytonic''
 L 5s
-| rowspan="2" |<small>mchro-supytonic</small>
+|''mchro-supytonic''
-<small>27L 22s</small>
-|-
+L 22s
 |-
-| rowspan="2" |<small>pchro-supytonic</small>
+|''pchro-supytonic''
-<small>22L 27s</small>
-|-
+L 27s
 |-
-| rowspan="8" |protofractalic
+| rowspan="4" |protofractalic
 L 5s
-| rowspan="4" |fractalic
+| rowspan="2" |fractalic
 L 17s
-| rowspan="2" |<small>pchro-fractalic</small>
+|pchro-fractalic
-<small>22L 39s</small>
-|-
+L 39s
 |-
-| rowspan="2" |<small>mchro-fractalic</small>
+|mchro-fractalic
-<small>39L 22s</small>
-|-
+L 22s
 |-
-| rowspan="4" |antifractalic
+| rowspan="2" |antifractalic
 L 22s
-| rowspan="2" |<small>mchro-antifractalic</small>
+|mchro-antifractalic
-<small>39L 17s</small>
-|-
+L 17s
 |-
-| rowspan="2" |<small>pchro-antifractalic</small>
+|pchro-antifractalic
-<small>17L 39s</small>
-|-
+L 17s
 |-
-| rowspan="16" |'''<big>pythharmonic</big>'''
+| rowspan="8" |'''pythharmonic'''
-<big>12L 5s</big>
+L 5s
-| rowspan="8" |gothitonic
+| rowspan="4" |gothitonic
 L 12s
-| rowspan="4" |perotinic
+| rowspan="2" |perotinic
 L 29s
-| rowspan="2" |<small>pchro-perotinic</small>
+|pchro-perotinic
-<small>17L 46s</small>
-|-
+L 46s
 |-
-| rowspan="2" |<small>mchro-perotinic</small>
+|mchro-perotinic
-<small>46L 17s</small>
-|-
+L 17s
 |-
-| rowspan="4" |martinic
+| rowspan="2" |martinic
 L 17s
-| rowspan="2" |<small>mchro-martinic</small>
+|mchro-martinic
-<small>46L 29s</small>
-|-
+L 29s
 |-
-| rowspan="2" |<small>pchro-martinic</small>
+|pchro-martinic
-<small>29L 46s</small>
-|-
+L 46s
 |-
-| rowspan="8" |'''<big>pythagotonic</big>'''
+| rowspan="4" |'''pythagotonic'''
-<big>12L 17s</big>
+L 17s
-| rowspan="4" |''countermystonic''
+| rowspan="2" |''countermystonic''
 L 12s
-| rowspan="2" |''mystostoney''
+|''mystostoney''
 L 41s
 |-
+|''counterstoney''
-|-
-| rowspan="2" |''counterstoney''
 L 29s
 |-
+| rowspan="2" |'''pythamystonic'''
-|-
+L 29s
-| rowspan="4" |'''<big>pythamystonic</big>'''
+|'''pythomerc'''
-<big>12L 29s</big>
-| rowspan="2" |'''<big>pythomerc</big>'''
-<big>41L 12s</big>
-|-
+L 12s
 |-
-| rowspan="2" |comptomerc
+|comptomerc
 L 41s
 |-
+| rowspan="16" |meanchromatic
-|-
-| rowspan="32" |meanchromatic
 L 5s
-| rowspan="16" |meanharmonic
+| rowspan="8" |meanharmonic
 L 7s
-| rowspan="8" |''comptomean''
+| rowspan="4" |''comptomean''
 L 19s
-| rowspan="4" |''pessimean''
+| rowspan="2" |''pessimean''
 L 31s
-| rowspan="2" |<small>pchro-pessimean</small>
+|''pchro-pessimean''
-<small>12L 43s</small>
-|-
+L 43s
 |-
-| rowspan="2" |<small>mchro-pessimean</small>
+|''mchro-pessimean''
-<small>43L 12s</small>
-|-
+L 12s
 |-
-| rowspan="4" |''meridotonic''
+| rowspan="2" |''meridetonic''
 L 12s
-| rowspan="2" |<small>mchro-meridotonic</small>
+|''mchro-antipessimean''
-<small>43L 31s</small>
-|-
+L 31s
 |-
-| rowspan="2" |<small>pchro-meridotonic</small>
+|''pchro-antipessimean''
-<small>31L 43s</small>
-|-
+L 43s
 |-
-| rowspan="8" |''auromean''
+| rowspan="4" |''auromean''
 L 12s
-| rowspan="4" |''ultauromean''
+| rowspan="2" |''ultimeantonic''
 L 19s
-| rowspan="2" |<small>pchro-ultauromean</small>
+|''pchro-ultimeantonic''
-<small>31L 50s</small>
-|-
+L 50s
 |-
-| rowspan="2" |<small>mchro-ultauromean</small>
+|''mchro-ultimeantonic''
-<small>50L 31s</small>
-|-
+L 31s
 |-
-| rowspan="4" |''antultauromean''
+| rowspan="2" |''antultimeantonic''
 L 31s
-| rowspan="2" |<small>mchro-antultauromean</small>
+|''mchro-antultimeantonic''
-<small>50L 19s</small>
-|-
+L 19s
 |-
-| rowspan="2" |<small>pchro-antultauromean</small>
+|''pchro-antultimeantonic''
-<small>19L 50s</small>
-|-
+L 50s
 |-
-| rowspan="16" |flanharmonic
+| rowspan="8" |flanharmonic
 L 12s
-| rowspan="8" |velic
+| rowspan="4" |velic
 L 7s
-| rowspan="4" |veljentyttonic
+| rowspan="2" |veljentyttonic
 L 26s
-| rowspan="2" |<small>pchro-veljentyttonic</small>
+|pchro-veljentyttonic
-<small>19L 45s</small>
-|-
+L 45s
 |-
-| rowspan="2" |<small>mchro-veljentyttonic</small>
+|mchro-veljentyttonic
-<small>45L 19s</small>
-|-
+L 19s
 |-
-| rowspan="4" |veljenpoikanic
+| rowspan="2" |veljenpoikanic
 L 19s
-| rowspan="2" |<small>mchro-veljenpoikanic</small>
+|mchro-veljenpoikanic
-<small>45L 26s</small>
-|-
+L 26s
 |-
-| rowspan="2" |<small>pchro-veljenpoikanic</small>
+|pchro-veljenpoikanic
-<small>26L 45s</small>
-|-
+L 45s
 |-
-| rowspan="8" |siskoic
+| rowspan="4" |siskoic
 L 19s
-| rowspan="4" |siskonpoikanic
+| rowspan="2" |siskonpoikanic
 L 7s
-| rowspan="2" |<small>pchro-siskonpoikanic</small>
+|pchro-siskonpoikanic
-<small>26L 33s</small>
-|-
+L 33s
 |-
-| rowspan="2" |<small>mchro-siskonpoikanic</small>
+|mchro-siskonpoikanic
-<small>33L 26s</small>
-|-
+L 26s
 |-
-| rowspan="4" |siskontyttonic
+| rowspan="2" |siskontyttonic
 L 26s
-| rowspan="2" |<small>mchro-siskontyttonic</small>
+|mchro-siskontyttonic
-<small>33L 7s</small>
-|-
+L 7s
 |-
-| rowspan="2" |<small>pchro-siskontyttonic</small>
+|pchro-siskontyttonic
-<small>7L 33s</small>
-|-
+L 33s
 |}
 {| class="wikitable mw-collapsible mw-collapsed"
@@ Line 775: / Line 739: @@
 |
 |}
+Etymologies:
+* countermystonic comes from ''[[countercomp]]'' and ''[[mystery]]'', the two temperaments that converge in this MOS.
+* comptomerc comes from ''[[compton]],'' as 12edo can also generate this MOS, albeit trivially.
+* garytonic comes from [[gary]], the temperament that tempers the [[garischisma]].
+* dinewtonic comes from Gene Ward Smith, who designed the gene (1\311), supporting a near-equal 311edo.
+* quincetonic comes from [[cotoneum]], latin word for "quince", whose optimum is a near-equal 217edo.
+* acupyth comes from ''acus'' (needle), judging by the accuracy of the fifths in this range.
+* pontiacitonic comes from [[pontiac]], which generates this MOS.
+* comptograckle comes from compton and [[grackle]], which can both generate this MOS.
+* qiantonic comes from Qián Lèzhī, the ancient Chinese astronomer and instrument maker who discovered the 306- and 359- comma.
+* picopyth comes from pico-, a SI prefix denoting 10^-12, a minute order of magnitude.
+* auromean comes from the [[golden meantone]], as it supports a generator of 696.214 cents.
+* meancomptonic comes from compton and [[meantone]], as the ranges are between sharper meantone and compton.
+* ultimeantonic comes from the fact that the basic tuning 47\81 is the last patent val fifth that supports golden meantone.
+* pessimean comes from ''pessimus (the worst)'', because meantone tunings in this range are bad.
+* meridetonic comes from the méride, 1\43, as the MOS has 43 notes and 43edo provides an equal temperament.
+* supytonic comes from [[Superpythagorean|superpyth]]-tonic, to give it a different name.

User:Eufalesio/TAMNAMS Extensions: Difference between revisions