User:Eufalesio/TAMNAMS Extensions

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.