User:Eufalesio/TAMNAMS Extensions: Difference between revisions

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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.  
{{Delete|Waste of time.}}
 
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"
{| class="wikitable"
|+MOS descendants
|+MOS descendants
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{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed"
|+Diatonic descendants
|+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>
5L 2s
| rowspan="32" |'''<big>pychromatic</big>'''
| rowspan="16" |'''pychromatic'''


<big>5L 7s</big>
5L 7s
| rowspan="16" |supharmonic
| rowspan="8" |supharmonic


5L 12s
5L 12s
| rowspan="8" |reinhardic
| rowspan="4" |reinhardic


5L 17s
5L 17s
| rowspan="4" |reinatonic
| rowspan="2" |reinatonic


5L 22s
5L 22s
| rowspan="2" |<small>pchro-reinatonic</small>
|pchro-reinatonic
<small>5L 27s</small>
|-


5L 27s
|-
|-
| rowspan="2" |<small>mchro-reinatonic</small>
|mchro-reinatonic
<small>27L 5s</small>
|-


27L 5s
|-
|-
| rowspan="4" |supytonic
| rowspan="2" |''supytonic''


22L 5s
22L 5s
| rowspan="2" |<small>mchro-supytonic</small>
|''mchro-supytonic''
<small>27L 22s</small>
|-


27L 22s
|-
|-
| rowspan="2" |<small>pchro-supytonic</small>
|''pchro-supytonic''
<small>22L 27s</small>
|-


22L 27s
|-
|-
| rowspan="8" |protofractalic
| rowspan="4" |protofractalic


17L 5s
17L 5s
| rowspan="4" |fractalic
| rowspan="2" |fractalic


22L 17s
22L 17s
| rowspan="2" |<small>pchro-fractalic</small>
|pchro-fractalic
<small>22L 39s</small>
|-


22L 39s
|-
|-
| rowspan="2" |<small>mchro-fractalic</small>
|mchro-fractalic
<small>39L 22s</small>
|-


39L 22s
|-
|-
| rowspan="4" |antifractalic
| rowspan="2" |antifractalic


17L 22s
17L 22s
| rowspan="2" |<small>mchro-antifractalic</small>
|mchro-antifractalic
<small>39L 17s</small>
|-


39L 17s
|-
|-
| rowspan="2" |<small>pchro-antifractalic</small>
|pchro-antifractalic
<small>17L 39s</small>
|-


39L 17s
|-
|-
| rowspan="16" |'''<big>pythharmonic</big>'''
| rowspan="8" |'''pythharmonic'''


<big>12L 5s</big>
12L 5s
| rowspan="8" |gothitonic
| rowspan="4" |gothitonic


17L 12s
17L 12s
| rowspan="4" |perotinic
| rowspan="2" |perotinic


17L 29s
17L 29s
| rowspan="2" |<small>pchro-perotinic</small>
|pchro-perotinic
<small>17L 46s</small>
|-


17L 46s
|-
|-
| rowspan="2" |<small>mchro-perotinic</small>
|mchro-perotinic
<small>46L 17s</small>
|-


46L 17s
|-
|-
| rowspan="4" |martinic
| rowspan="2" |martinic


29L 17s
29L 17s
| rowspan="2" |<small>mchro-martinic</small>
|mchro-martinic
<small>46L 29s</small>
|-


46L 29s
|-
|-
| rowspan="2" |<small>pchro-martinic</small>
|pchro-martinic
<small>29L 46s</small>
|-


29L 46s
|-
|-
| rowspan="8" |'''<big>pythagotonic</big>'''
| rowspan="4" |'''pythagotonic'''


<big>12L 17s</big>
12L 17s
| rowspan="4" |''countermystonic''
| rowspan="2" |''countermystonic''


29L 12s
29L 12s
| rowspan="2" |''mystostoney''
|''mystostoney''


29L 41s
29L 41s
|-
|-
 
|''counterstoney''
|-
| rowspan="2" |''counterstoney''


41L 29s
41L 29s
|-
|-
| rowspan="2" |'''pythamystonic'''


|-
12L 29s
| rowspan="4" |'''<big>pythamystonic</big>'''
|'''pythomerc'''
 
<big>12L 29s</big>
| rowspan="2" |'''<big>pythomerc</big>'''
 
<big>41L 12s</big>
|-


41L 12s
|-
|-
| rowspan="2" |comptomerc
|comptomerc


12L 41s
12L 41s
|-
|-
 
| rowspan="16" |meanchromatic
|-
| rowspan="32" |meanchromatic


7L 5s
7L 5s
| rowspan="16" |meanharmonic
| rowspan="8" |meanharmonic


12L 7s
12L 7s
| rowspan="8" |''comptomean''
| rowspan="4" |''comptomean''


12L 19s
12L 19s
| rowspan="4" |''pessimean''
| rowspan="2" |''pessimean''


12L 31s
12L 31s
| rowspan="2" |<small>pchro-pessimean</small>
|''pchro-pessimean''
<small>12L 43s</small>
|-


12L 43s
|-
|-
| rowspan="2" |<small>mchro-pessimean</small>
|''mchro-pessimean''
<small>43L 12s</small>
|-


43L 12s
|-
|-
| rowspan="4" |''meridotonic''
| rowspan="2" |''meridetonic''


31L 12s
31L 12s
| rowspan="2" |<small>mchro-meridotonic</small>
|''mchro-antipessimean''
<small>43L 31s</small>
|-


43L 31s
|-
|-
| rowspan="2" |<small>pchro-meridotonic</small>
|''pchro-antipessimean''
<small>31L 43s</small>
|-


31L 43s
|-
|-
| rowspan="8" |''auromean''
| rowspan="4" |''auromean''


19L 12s
19L 12s
| rowspan="4" |''ultauromean''
| rowspan="2" |''ultimeantonic''


31L 19s
31L 19s
| rowspan="2" |<small>pchro-ultauromean</small>
|''pchro-ultimeantonic''
<small>31L 50s</small>
|-


31L 50s
|-
|-
| rowspan="2" |<small>mchro-ultauromean</small>
|''mchro-ultimeantonic''
<small>50L 31s</small>
|-


50L 31s
|-
|-
| rowspan="4" |''antultauromean''
| rowspan="2" |''antultimeantonic''


19L 31s
19L 31s
| rowspan="2" |<small>mchro-antultauromean</small>
|''mchro-antultimeantonic''
<small>50L 19s</small>
|-


50L 19s
|-
|-
| rowspan="2" |<small>pchro-antultauromean</small>
|''pchro-antultimeantonic''
<small>19L 50s</small>
|-


19L 50s
|-
|-
| rowspan="16" |flanharmonic
| rowspan="8" |flanharmonic


7L 12s
7L 12s
| rowspan="8" |velic
| rowspan="4" |velic


19L 7s
19L 7s
| rowspan="4" |veljentyttonic
| rowspan="2" |veljentyttonic


19L 26s
19L 26s
| rowspan="2" |<small>pchro-veljentyttonic</small>
|pchro-veljentyttonic
<small>19L 45s</small>
|-


19L 45s
|-
|-
| rowspan="2" |<small>mchro-veljentyttonic</small>
|mchro-veljentyttonic
<small>45L 19s</small>
|-


45L 19s
|-
|-
| rowspan="4" |veljenpoikanic
| rowspan="2" |veljenpoikanic


26L 19s
26L 19s
| rowspan="2" |<small>mchro-veljenpoikanic</small>
|mchro-veljenpoikanic
<small>45L 26s</small>
|-


45L 26s
|-
|-
| rowspan="2" |<small>pchro-veljenpoikanic</small>
|pchro-veljenpoikanic
<small>26L 45s</small>
|-


26L 45s
|-
|-
| rowspan="8" |siskoic
| rowspan="4" |siskoic


7L 19s
7L 19s
| rowspan="4" |siskonpoikanic
| rowspan="2" |siskonpoikanic


26L 7s
26L 7s
| rowspan="2" |<small>pchro-siskonpoikanic</small>
|pchro-siskonpoikanic
<small>26L 33s</small>
|-


26L 33s
|-
|-
| rowspan="2" |<small>mchro-siskonpoikanic</small>
|mchro-siskonpoikanic
<small>33L 26s</small>
|-


33L 26s
|-
|-
| rowspan="4" |siskontyttonic
| rowspan="2" |siskontyttonic


7L 26s
7L 26s
| rowspan="2" |<small>mchro-siskontyttonic</small>
|mchro-siskontyttonic
<small>33L 7s</small>
|-


33L 7s
|-
|-
| rowspan="2" |<small>pchro-siskontyttonic</small>
|pchro-siskontyttonic
<small>7L 33s</small>
|-


7L 33s
|}
|}
{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed"
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|
|
|}
|}
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.