User:Eufalesio/TAMNAMS Extensions: Difference between revisions

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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. 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"
{| 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'''
!'''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"
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.

Latest revision as of 18:01, 28 February 2026

Extension for the many descendants of the diatonic. Bold MOSes support Pythagorean tuning. Italic names are new. Credit to Frostburn for original names.

MOS descendants
Daughter Granddaughter 3rd descendant 4rd descendant
pychro- senhar- uso- kaiso-
gigso-
paso- magso-
fruso-
penhar- qaso- denso-
epso-
miso- micso-
zilso-
mchro- menhar- miha- zilha-
micha-
qaha- epha-
denha-
fenhar- paha- fruha-
magha-
uha- gigha-
kaiha-
Diatonic descendants
self daughter granddaughter 3rd descendant 4th descendant 5th descendant
diatonic

5L 2s

pychromatic

5L 7s

supharmonic

5L 12s

reinhardic

5L 17s

reinatonic

5L 22s

pchro-reinatonic

5L 27s

mchro-reinatonic

27L 5s

supytonic

22L 5s

mchro-supytonic

27L 22s

pchro-supytonic

22L 27s

protofractalic

17L 5s

fractalic

22L 17s

pchro-fractalic

22L 39s

mchro-fractalic

39L 22s

antifractalic

17L 22s

mchro-antifractalic

39L 17s

pchro-antifractalic

39L 17s

pythharmonic

12L 5s

gothitonic

17L 12s

perotinic

17L 29s

pchro-perotinic

17L 46s

mchro-perotinic

46L 17s

martinic

29L 17s

mchro-martinic

46L 29s

pchro-martinic

29L 46s

pythagotonic

12L 17s

countermystonic

29L 12s

mystostoney

29L 41s

counterstoney

41L 29s

pythamystonic

12L 29s

pythomerc

41L 12s

comptomerc

12L 41s

meanchromatic

7L 5s

meanharmonic

12L 7s

comptomean

12L 19s

pessimean

12L 31s

pchro-pessimean

12L 43s

mchro-pessimean

43L 12s

meridetonic

31L 12s

mchro-antipessimean

43L 31s

pchro-antipessimean

31L 43s

auromean

19L 12s

ultimeantonic

31L 19s

pchro-ultimeantonic

31L 50s

mchro-ultimeantonic

50L 31s

antultimeantonic

19L 31s

mchro-antultimeantonic

50L 19s

pchro-antultimeantonic

19L 50s

flanharmonic

7L 12s

velic

19L 7s

veljentyttonic

19L 26s

pchro-veljentyttonic

19L 45s

mchro-veljentyttonic

45L 19s

veljenpoikanic

26L 19s

mchro-veljenpoikanic

45L 26s

pchro-veljenpoikanic

26L 45s

siskoic

7L 19s

siskonpoikanic

26L 7s

pchro-siskonpoikanic

26L 33s

mchro-siskonpoikanic

33L 26s

siskontyttonic

7L 26s

mchro-siskontyttonic

33L 7s

pchro-siskontyttonic

7L 33s

Pythomerc descendants
self daughter granddaughter 3rd descendant 4th descendant 5th descendant 6th descendant 7th descendant
pythomerc

41L 12s

garytonic

41L 53s

pchro-garytonic

41L 94s

senhar-garytonic

41L 135s

quincetonic

41L 176s

antiquincetonic

176L 41s

penhar-garytonic

135L 41s

antidinewtonic

176L 135s

dinewtonic

135L 176s

mchro-garytonic

94L 41s

menhar-garytonic

135L 94s

fenhar-garytonic

94L 135s

acupyth

53L 41s

mchro-acupyth

94L 53s

fenhar-acupyth

94L 147s

menhar-acupyth

147L 94s

pychro-acupyth

53L 94s

penhar-acupyth

147L 53s

miha-acupyth

147L 200s

qaha-acupyth

200L 147s

senhar-acupyth

53L 147s

paha-acupyth

200L 53s

fruha-acupyth

200L 253s

fruha-acupyth

253L 200s

uha-acupyth

53L 200s

antiqiantonic

253L 53s

qiantonic

53L 253s

mchro-qiantonic

306L 53s

picopyth

306L 359s

antipicopyth

359L 306s

pchro-qiantonic

53L 306s

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 superpyth-tonic, to give it a different name.
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