User:Eufalesio/TAMNAMS Extensions: Difference between revisions
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Etymologies |
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{| class="wikitable" | {| class="wikitable mw-collapsible mw-collapsed" | ||
|+Diatonic descendants | |||
!'''self''' | !'''self''' | ||
!'''daughter''' | !'''daughter''' | ||
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43L 12s | 43L 12s | ||
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| rowspan="2" |'' | | rowspan="2" |''meridetonic'' | ||
31L 12s | 31L 12s | ||
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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. | |||
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.
| 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- |
| 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 |
| 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.