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Etymologies
 
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Extension for the many descendants of the diatonic. '''Bold''' MOSes support Pythagorean tuning. Italic names are new. 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"
{| class="wikitable"
|+MOS descendants
|+MOS descendants
Line 55: Line 55:
{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed"
|+Diatonic descendants
|+Diatonic descendants
!'''self'''
!'''daughter'''
!'''granddaughter'''
!'''3rd descendant'''
!'''4th descendant'''
!'''5th descendant'''
|-
| rowspan="32" |'''diatonic'''
5L 2s
| rowspan="16" |'''pychromatic'''
5L 7s
| rowspan="8" |supharmonic
5L 12s
| rowspan="4" |reinhardic
5L 17s
| rowspan="2" |reinatonic
5L 22s
|pchro-reinatonic
5L 27s
|-
|mchro-reinatonic
27L 5s
|-
| rowspan="2" |''supytonic''
22L 5s
|''mchro-supytonic''
27L 22s
|-
|''pchro-supytonic''
22L 27s
|-
| rowspan="4" |protofractalic
17L 5s
| rowspan="2" |fractalic
22L 17s
|pchro-fractalic
22L 39s
|-
|mchro-fractalic
39L 22s
|-
| rowspan="2" |antifractalic
17L 22s
|mchro-antifractalic
39L 17s
|-
|pchro-antifractalic
39L 17s
|-
| rowspan="8" |'''pythharmonic'''
12L 5s
| rowspan="4" |gothitonic
17L 12s
| rowspan="2" |perotinic
17L 29s
|pchro-perotinic
17L 46s
|-
|mchro-perotinic
46L 17s
|-
| rowspan="2" |martinic
29L 17s
|mchro-martinic
46L 29s
|-
|pchro-martinic
29L 46s
|-
| rowspan="4" |'''pythagotonic'''
12L 17s
| rowspan="2" |''countermystonic''
29L 12s
|''mystostoney''
29L 41s
|-
|''counterstoney''
41L 29s
|-
| rowspan="2" |'''pythamystonic'''
12L 29s
|'''pythomerc'''
41L 12s
|-
|comptomerc
12L 41s
|-
| rowspan="16" |meanchromatic
7L 5s
| rowspan="8" |meanharmonic
12L 7s
| rowspan="4" |''comptomean''
12L 19s
| rowspan="2" |''pessimean''
12L 31s
|''pchro-pessimean''
12L 43s
|-
|''mchro-pessimean''
43L 12s
|-
| rowspan="2" |''meridetonic''
31L 12s
|''mchro-antipessimean''
43L 31s
|-
|''pchro-antipessimean''
31L 43s
|-
| rowspan="4" |''auromean''
19L 12s
| rowspan="2" |''ultimeantonic''
31L 19s
|''pchro-ultimeantonic''
31L 50s
|-
|''mchro-ultimeantonic''
50L 31s
|-
| rowspan="2" |''antultimeantonic''
19L 31s
|''mchro-antultimeantonic''
50L 19s
|-
|''pchro-antultimeantonic''
19L 50s
|-
| rowspan="8" |flanharmonic
7L 12s
| rowspan="4" |velic
19L 7s
| rowspan="2" |veljentyttonic
19L 26s
|pchro-veljentyttonic
19L 45s
|-
|mchro-veljentyttonic
45L 19s
|-
| rowspan="2" |veljenpoikanic
26L 19s
|mchro-veljenpoikanic
45L 26s
|-
|pchro-veljenpoikanic
26L 45s
|-
| rowspan="4" |siskoic
7L 19s
| rowspan="2" |siskonpoikanic
26L 7s
|pchro-siskonpoikanic
26L 33s
|-
|mchro-siskonpoikanic
33L 26s
|-
| rowspan="2" |siskontyttonic
7L 26s
|mchro-siskontyttonic
33L 7s
|-
|pchro-siskontyttonic
7L 33s
|}
{| class="wikitable mw-collapsible mw-collapsed"
|+Pythomerc descendants
|'''self'''
|'''self'''
|'''daughter'''
|'''daughter'''
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|'''5th descendant'''
|'''5th descendant'''
|'''6th descendant'''
|'''6th descendant'''
|'''7th descendant'''
|-
|-
| rowspan="64" |diatonic
| rowspan="128" |'''''<big>pythomerc</big>'''''


5L 2s
<big>41L 12s</big>
| rowspan="32" |'''pychromatic'''
| rowspan="64" |''garytonic''


5L 7s
41L 53s
| rowspan="16" |supharmonic
| rowspan="32" |''<small>pchro-garytonic</small>''


5L 12s
<small>41L 94s</small>
| rowspan="8" |reinhardic
| rowspan="16" |''<small>senhar-garytonic</small>''


5L 17s
<small>41L 135s</small>
| rowspan="4" |reinatonic
| rowspan="8" |''quincetonic''


5L 22s
41L 176s
| rowspan="4" |
| rowspan="2" |
| rowspan="2" |
|
|
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|
|
|-
|-
| rowspan="4" |antireinatonic
| rowspan="4" |
 
22L 5s
| rowspan="2" |
| rowspan="2" |
|
|
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|
|
|-
|-
| rowspan="8" |protofractalic
| rowspan="8" |''antiquincetonic''


17L 5s
176L 41s
| rowspan="4" |fractalic
| rowspan="4" |
 
22L 17s
| rowspan="2" |
| rowspan="2" |
|
|
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|
|
|-
|-
| rowspan="4" |antifractalic
| rowspan="4" |
 
17L 22s
| rowspan="2" |
| rowspan="2" |
|
|
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|
|
|-
|-
| rowspan="16" |'''pythharmonic'''
| rowspan="16" |''<small>penhar-garytonic</small>''


12L 5s
<small>135L 41s</small>
| rowspan="8" |gothitonic
| rowspan="8" |''antidinewtonic''


17L 12s
176L 135s
| rowspan="4" |perotinic
| rowspan="4" |
 
17L 29s
| rowspan="2" |
| rowspan="2" |
|
|
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|
|
|-
|-
| rowspan="4" |martinic
| rowspan="4" |
 
29L 17s
| rowspan="2" |
| rowspan="2" |
|
|
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|
|
|-
|-
| rowspan="8" |'''pythagotonic'''
| rowspan="8" |''dinewtonic''


12L 17s
135L 176s
| rowspan="4" |''countermystonic''
| rowspan="4" |
 
| rowspan="2" |
29L 12s
| rowspan="2" |''mystostoney''
 
41L 29s
|
|
|-
|-
|
|
|-
|-
| rowspan="2" |''counterstoney''
| rowspan="2" |
 
41L 29s
|
|
|-
|-
|
|
|-
|-
| rowspan="4" |'''pythamystonic'''
| rowspan="4" |
 
| rowspan="2" |
12L 29s
|
| rowspan="2" |'''pythomerc'''
 
41L 12s
|''garytonic''
 
41L 53s
|-
|-
|'''''acupyth'''''
|
 
53L 41s
|-
|-
| rowspan="2" |comptomerc
| rowspan="2" |
 
|
12L 41s
|''pontiacitonic''
 
53L 12s
|-
|-
|''comptogractonic''
|
 
12L 53s
|-
|-
| rowspan="32" |meanchromatic
| rowspan="32" |''<small>mchro-garytonic</small>''


7L 5s
<small>94L 41s</small>
| rowspan="16" |meanharmonic
| rowspan="16" |''<small>menhar-garytonic</small>''


12L 7s
<small>135L 94s</small>
| rowspan="8" |''comptomean''
| rowspan="8" |
 
| rowspan="4" |
12L 19s
| rowspan="4" |''pessimean''
 
12L 31s
| rowspan="2" |
| rowspan="2" |
|
|
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|
|
|-
|-
| rowspan="4" |''meridotonic''
| rowspan="4" |
 
31L 12s
| rowspan="2" |
| rowspan="2" |
|
|
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|
|
|-
|-
| rowspan="8" |''auromean''
| rowspan="8" |
 
| rowspan="4" |
19L 12s
| rowspan="4" |''ultauromean''
 
31L 19s
| rowspan="2" |
| rowspan="2" |
|
|
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|
|
|-
|-
| rowspan="4" |''antultauromean''
| rowspan="4" |
 
19L 31s
| rowspan="2" |
| rowspan="2" |
|
|
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|
|
|-
|-
| rowspan="16" |flanharmonic
| rowspan="16" |''<small>fenhar-garytonic</small>''


7L 12s
<small>94L 135s</small>
| rowspan="8" |velic
| rowspan="8" |
 
| rowspan="4" |
19L 7s
| rowspan="4" |veljentyttonic
 
19L 26s
| rowspan="2" |
| rowspan="2" |
|
|
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|
|
|-
|-
| rowspan="4" |veljenpoikanic
| rowspan="4" |
 
26L 19s
| rowspan="2" |
| rowspan="2" |
|
|
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|
|
|-
|-
| rowspan="8" |siskoic
| rowspan="8" |
 
| rowspan="4" |
7L 19s
| rowspan="4" |siskonpoikanic
 
26L 7s
| rowspan="2" |
| rowspan="2" |
|
|
Line 319: Line 499:
|
|
|-
|-
| rowspan="4" |siskontyttonic
| rowspan="4" |
 
7L 26s
| rowspan="2" |
| rowspan="2" |
|
|
Line 331: Line 509:
|-
|-
|
|
|}
{| class="wikitable mw-collapsible mw-collapsed"
|+Acupyth descendants
|'''self'''
|'''daughter'''
|'''granddaughter'''
|'''3rd descendant'''
|'''4th descendant'''
|'''5th descendant'''
|'''6th descendant'''
|-
|-
| rowspan="64" |'''''acupyth'''''
| rowspan="64" |'''''<big>acupyth</big>'''''
 
<big>53L 41s</big>
| rowspan="32" |''<small>mchro-acupyth</small>''


53L 41s
<small>94L 53s</small>
| rowspan="32" |''mchro-acupyth''
| rowspan="16" |''<small>fenhar-acupyth</small>''


94L 53s
<small>94L 147s</small>
| rowspan="16" |
| rowspan="8" |
| rowspan="8" |
| rowspan="4" |
| rowspan="4" |
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|
|
|-
|-
| rowspan="16" |
| rowspan="16" |''<small>menhar-acupyth</small>''
 
<small>147L 94s</small>
| rowspan="8" |
| rowspan="8" |
| rowspan="4" |
| rowspan="4" |
Line 445: Line 617:


53L 94s
53L 94s
| rowspan="16" |''penhar-acupyth''
| rowspan="16" |''<small>penhar-acupyth</small>''
 
<small>147L 53s</small>
| rowspan="8" |''<small>miha-acupyth</small>''


147L 53s
<small>147L 200s</small>
| rowspan="8" |
| rowspan="4" |
| rowspan="4" |
| rowspan="2" |
| rowspan="2" |
Line 471: Line 645:
|
|
|-
|-
| rowspan="8" |
| rowspan="8" |''<small>qaha-acupyth</small>''
 
<small>200L 147s</small>
| rowspan="4" |
| rowspan="4" |
| rowspan="2" |
| rowspan="2" |
Line 497: Line 673:


53L 147s
53L 147s
| rowspan="8" |''paha-acupyth''
| rowspan="8" |''<small>paha-acupyth</small>''
 
<small>200L 53s</small>
| rowspan="4" |''<small>fruha-acupyth</small>''


200L 53s
<small>200L 253s</small>
| rowspan="4" |
| rowspan="2" |
| rowspan="2" |
|
|
Line 511: Line 689:
|
|
|-
|-
| rowspan="4" |
| rowspan="4" |''<small>fruha-acupyth</small>''
 
<small>253L 200s</small>
| rowspan="2" |
| rowspan="2" |
|
|
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53L 200s
53L 200s
| rowspan="4" |''antiqiantonic''
| rowspan="4" |''<small>antiqiantonic</small>''


253L 53s
<small>253L 53s</small>
| rowspan="2" |
| rowspan="2" |
|
|
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|
|
|-
|-
| rowspan="4" |'''''qiantonic'''''
| rowspan="4" |'''''<big>qiantonic</big>'''''


53L 253s
<big>53L 253s</big>
| rowspan="2" |'''''mchro-qiantonic'''''
| rowspan="2" |'''''mchro-qiantonic'''''


306L 53s
306L 53s
|'''''picopyth'''''
|'''''<big>picopyth</big>'''''


306L 359s
<big>306L 359s</big>
|-
|-
|'''''antipicopyth'''''
|''antipicopyth''


359L 306s
359L 306s
|-
|-
| rowspan="2" |''pchro-qiantonic''
| rowspan="2" |''<small>pchro-qiantonic</small>''


53L 306s
<small>53L 306s</small>
|
|
|-
|-
|
|
|}
|}
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.
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