TAMNAMS Extension

This is a systematic extension for the TAMNAMS MOS scale naming system based on relationships of a named mos (parent, grandparent, great-grandparent, etc). It's intended for a user interface so that every MOS pattern has a memorable name. There's also a more euphonic version at least for User:Frostburn's taste.

Naming mos descendants

To name mosses that have more than 10 notes, names are based on how they're related to a parent mos. This section is currently work-in-progress and currently describes two systems devised by Frostburn and Ganaram inukshuk.

Proposals	Child (1st descendant)	Grandchild (2nd descendant)	Great-grandchild (3rd descendant)	(k-1 greats) grandchild (kth descendant)	Other notes
Frostburn's proposal	m-chro (parent's name)	f-enhar (grandparent's name)	uso-(great-grandparent's name)
			paso-(great-grandparent's name)
		m-enhar (grandparent's name)	quso-(great-grandparent's name)
			miso-(great-grandparent's name)
	p-chro mos (parent's name)	p-enhar (grandparent's name)	miha-(great-grandparent's name)
			quha-(great-grandparent's name)
		s-enhar (grandparent's name)	paha-(great-grandparent's name)
			uha-(great-grandparent's name)
Ganaram's proposal	s-chromatic mos	s-enharmonic mos	us-subchromatic mos	kth-descendant mos	Prefixes are optional. Names are still work-in-progress.
			ps-subchromatic mos
		os-enharmonic	qs-subchromatic mos
			ms-subchromatic mos
	h-chromatic mos	oh-enharmonic mos	mh-subchromatic mos
			qh-subchromatic mos
		h-enharmonic mos	ph-subchromatic mos
			uh-subchromatic mos

Secondarily, descendant mosses are named based on what step ratio the parent has relative to the descendant. This is added as a prefix, and most of these prefixes are based on TAMNAMS step ratio ranges.

Parent mos		Child (1st descendant)				Grandchild (2nd descendant)				Great-grandchild (3rd descendant)
Mos	L:s range	Mos	Prefix		L:s range	Mos	Prefix		L:s range	Mos	Prefix		L:s range
			Frostburn	Ganaram			Frostburn	Ganaram			Frostburn	Ganaram
xL ys	1:1 to 1:0	(x+y)L xs	m-	s-	1:1 to 2:1 (general soft range)	(x+y)L (2x+y)s	f-	s-	1:1 to 3:2 (soft)	(x+y)L (3x+2y)s	uha-	us-	1:1 to 4:3 (ultrasoft)
										(3x+2y)L (x+y)s	paso-	ps-	4:3 to 3:2 (parasoft)
						(2x+y)L (x+y)s	m-	os-	3:2 to 2:1 (hyposoft)	(3x+2y)L (2x+y)s	quso-	qs-	3:2 to 5:3 (quasisoft)
										(2x+y)L (3x+2y)s	miso-	ms-	5:3 to 2:1 (minisoft)
		xL (x+y)s	p-	h-	2:1 to 1:0 (general hard range)	(2x+y)L xs	p-	oh-	2:1 to 3:1 (hypohard)	(2x+y)L (3x+y)s	miha-	mh-	2:1 to 5:2 (minihard)
										(3x+y)L (2x+y)s	quha-	qh-	5:2 to 3:1 (quasihard)
						xL (2x+y)s	s-	h-	3:1 to 1:0 (hard)	(3x+y)L xs	paha-	ph-	3:1 to 4:1 (parahard)
										xL (3x+y)s	uha-	uh-	4:1 to 1:0 (ultrahard)

Other mos families

Wood scales

Trivial multi-MOS scales of k periods (mosses of the form kL ks) are named k-wood. If k is greater than 5 and no greater than 12, these can be written out as (Greek numeral prefix)wood, as shown in the table below.

Mos	Name	Prefix	Abbrev.
6L 6s	hexawood	hexwd-	hxw
7L 7s	heptawood	hepwd-	hpw
8L 8s	octawood	octwd-	ocw
9L 9s	enneawood	ennwd-	enw
10L 10s	decawood	decwd-	dkw
11L 11s	hendecawood	hedwd-	hdw
12L 12s	dodecawood	dodwd-	ddw
13L 13s	13-wood	13wd-	13w
14L 14s	14-wood	14wd-	14w
etc...

Diatonic family

This system introduces the following names for (grand)daughters of diatonic 5L 2s.

Diatonic family tree

Daughters
Pattern	Name	Notes
5L 7s	p-chromatic	Chromatic scale from pythagorean generator 3/2. S-chromatic is an alternative name.
7L 5s	m-chromatic	Chromatic scale of meantone. F-chromatic is an alternative name.
Granddaughters
Pattern	Name	Notes
12L 5s	p-enharmonic	Enharmonic scale from 3/2 generator.
5L 12s	s-enharmonic	Enharmonic scale of superpyth.
12L 7s	m-enharmonic	Enharmonic scale of meantone.
7L 12s	f-enharmonic	Enharmonic scale of flattone.
Great-granddaughters
Pattern	Name	Notes
12L 17s	pythagotonic	Generator is 3/2. Small step is the Pythagorean comma
17L 12s	gothitonic	Generator falls in the neo-gothic range.
19L 12s	fauxarabian	One possible generator is double of neutral third 11/9 while the scale still sounds neutral
12L 19s	fauxrussian	Faux-cyrilic font is the "opposite" of faux-arabic
17L 5s	protofractalic	Daughter scales exhibit fractal-like acoustic effects
5L 17s	reinhardic	Possible generator 50/33 is similar to 5edo's fifth (Reinhard notation)
19L 7s	velic	Possible generator 112/75 is called the marvelous fifth
7L 19s	siskoic	Play on words: Veli means brother in Finnish and sisko means sister.
Great-great-granddaughters
Pattern	Name	Notes
12L 29s	pythamystonic	Generator is 3/2. Large step is mystery comma. Small step is pythagorean comma.
29L 12s	antipythamystonic
12L 31s	fauxmuscovian	Parent is fauxrussian. Muscovy is a sub region of Russia.
31L 12s	fauxsiberian	Parent is fauxrussian. Siberia is a sub region of Russia.
19L 31s	fauxsaudi	Parent is fauxarabian. Saudis live in a sub region of Arabia.
31L 19s	fauxomani	Parent is fauxarabian. Omani live in a sub region of Arabia.
22L 17s	fractalic	Exhibits fractal-like acoustic effects.
17L 22s	antifractalic
17L 29s	perotinic	Parent is gothitonic. Pérotin has been described as the first modern composer in the Western tradition.
29L 17s	martinic	Parent is gothitonic. Simone Martini influenced Gothic style painting.
19L 26s	veljentyttonic	Parent is velic. Veljentyttö means niece from the brother's side in Finnish.
26L 19s	veljenpoikanic	Parent is velic. Veljenpoika means nephew from the brother's side in Finnish.
7L 26s	siskontyttonic	Parent is siskoic. Siskontyttö means niece from the sister's side in Finnish.
26L 7s	siskonpoikanic	Parent is siskoic. Siskonpoika means nephew from the sister's side in Finnish.
5L 22s	reinatonic	Parent is reinhardic.
22L 5s	antireinatonic	Parent is reinhardic.
Great-great-great-granddaughters
Pattern	Name	Notes
12L 41s	antipythomerc
41L 12s	pythomerc	Generator is 3/2. Transitional scale between ones dominated by pythagorean and mercator commas.

Other mos names

P-chro smitonic

This system retains the old prefix klei- for 4L 7s (from the kleismic family of temperaments).

Trollic

Trollic is a name given to 12L 1s by Godtone, but in order to troll even further the name is given to 13L 1s instead.

Liesic

The scheme would run out of names at 17-notes so liesic is a name given to 2L 15s based on liese temperament to patch one more hole.

Giedraitic

Giedraitic is a name given to 19L 3s in honor of the basic magic layout of Kite Giedraitis' guitar. The prefix/stem kai comes from Kite's first name /kaɪt/ with the last /t/ removed. The anti-giedratic MOS is given the name zheligowskic in reference to Lucjan Żeligowski leading fights against the town of Giedraičiai.

Hendecoid

Hendecoid is a name given to 11L 2s by Eliora from Greek "eleven", referencing how "its generator is so close to 11/8 as to be called nothing but that", as well as the number of long steps, meaning that overall there's a very strong connection between the number 11 and the mos.

Escapist

Escapist is a name given to 21L 1s by Eliora, referencing the escapade temperament, which is supported by both 21edo and 22edo, covering the entire range.

Quartismoid

Quartismoid is a name given to 22L 1s by Eliora, derived from the fact that five generators of roughly 33/32 quartertone are equal to 7/6 in the harmonic entropy minimum, and also that the extreme ranges of 22edo and 23edo both support this kind of scale.

Table of MOS scales up to 22 notes

The table below lists all MOS scales and their stems needed to generate everything with assignable names in the system.

TAMNAMS mos names extended

11-note mosses
Pattern	Name	Prefix
1L 10s	p-chro antisinatonic	none
2L 9s	p-chro balzano	none
3L 8s	p-chro checkertonic	none
4L 7s	p-chro smitonic	klei
5L 6s	p-chro machinoid	none
6L 5s	m-chro machinoid	none
7L 4s	m-chro smitonic	none
8L 3s	m-chro checkertonic	none
9L 2s	m-chro balzano	none
10L 1s	m-chro antisinatonic	none
12-note mosses
Pattern	Name	Prefix
1L 11s	s-enhar antisinatonic	none
2L 10s	p-chro jaric	none
3L 9s	p-chro tcherepnin	none
4L 8s	p-chro tetrawood	none
5L 7s	p-chromatic	pychro
6L 6s	hexawood	hexwd
7L 5s	m-chromatic	mellow
8L 4s	m-chro tetrawood	none
9L 3s	m-chro tcherepnin	none
10L 2s	m-chro jaric	none
11L 1s	p-enhar antisinatonic	none
13-note mosses
Pattern	Name	Prefix
1L 12s	uha-antisinatonic	none
2L 11s	s-enhar balzano	none
3L 10s	p-chro sephiroid	none
4L 9s	p-chro gramitonic	none
5L 8s	p-chro oneirotonic	none
6L 7s	p-chro archeotonic	none
7L 6s	m-chro archeotonic	none
8L 5s	m-chro oneirotonic	none
9L 4s	m-chro gramitonic	none
10L 3s	m-chro sephiroid	none
11L 2s	p-enhar balzano	none
12L 1s	paha-antisinatonic	none
14-note mosses
Pattern	Name	Prefix
1L 13s	antrollic	antro
2L 12s	s-enhar jaric	none
3L 11s	s-enhar checkertonic	none
4L 10s	p-chro lime	none
5L 9s	p-chro semiquartal	none
6L 8s	p-chro ekic	none
7L 7s	septawood	septwd
8L 6s	m-chro ekic	none
9L 5s	m-chro semiquartal	none
10L 4s	m-chro lime	none
11L 3s	p-enhar checkertonic	none
12L 2s	p-enhar jaric	none
13L 1s	trollic	tro
15-note mosses
Pattern	Name	Prefix
1L 14s	p-chro antrollic	none
2L 13s	uha-balzano	none
3L 12s	s-enhar tcherepnin	none
4L 11s	s-enhar smitonic	none
5L 10s	p-chro pentawood	none
6L 9s	p-chro hyrulic	none
7L 8s	p-chro pine	none
8L 7s	m-chro pine	none
9L 6s	m-chro hyrulic	none
10L 5s	m-chro pentawood	none
11L 4s	p-enhar smitonic	none
12L 3s	p-enhar tcherepnin	none
13L 2s	paha-balzano	none
14L 1s	m-chro antrollic	none
16-note mosses
Pattern	Name	Prefix
1L 15s	s-enhar antrollic	none
2L 14s	uha-jaric	none
3L 13s	s-enhar sephiroid	none
4L 12s	s-enhar tetrawood	none
5L 11s	s-enhar machinoid	none
6L 10s	p-chro lemon	none
7L 9s	p-chro superdiatonic	none
8L 8s	octawood	otcwd
9L 7s	m-chro superdiatonic	none
10L 6s	m-chro lemon	none
11L 5s	p-enhar machinoid	none
12L 4s	p-enhar tetrawood	none
13L 3s	p-enhar sephiroid	none
14L 2s	paha-jaric	none
15L 1s	p-enhar antrollic	none
17-note mosses
Pattern	Name	Prefix
1L 16s	uha-antrollic	none
2L 15s	liesic	lisa
3L 14s	uha-checkertonic	none
4L 13s	s-enhar gramitonic	none
5L 12s	s-enharmonic	supen
6L 11s	f-enhar machinoid	none
7L 10s	p-chro dicoid	none
8L 9s	p-chro subneutralic	none
9L 8s	m-chro subneutralic	none
10L 7s	m-chro dicoid	none
11L 6s	m-enhar machinoid	none
12L 5s	p-enharmonic	pyen
13L 4s	p-enhar gramitonic	none
14L 3s	paha-checkertonic	none
15L 2s	antiliesic	alisa
16L 1s	paha-antrollic	none
18-note mosses
Pattern	Name	Prefix
3L 15s	uha-tcherepnin	none
4L 14s	s-enhar lime	none
5L 13s	s-enhar oneirotonic	none
6L 12s	p-chro hexawood	none
7L 11s	f-enhar smitonic	none
8L 10s	p-chro taric	none
9L 9s	nonawood	nonwd
10L 8s	m-chro taric	none
11L 7s	m-enhar smitonic	none
12L 6s	m-chro hexawood	none
13L 5s	p-enhar oneirotonic	none
14L 4s	p-enhar lime	none
15L 3s	paha-tcherepnin	none
19-note mosses
Pattern	Name	Prefix
2L 17s	p-chro liesic	none
3L 16s	uha-sephiroid	none
4L 15s	uha-smitonic	none
5L 14s	s-enhar semiquartal	none
6L 13s	s-enhar archeotonic	none
7L 12s	f-enharmonic	flaen
8L 11s	f-enhar checkertonic	none
9L 10s	p-chro sinatonic	none
10L 9s	m-chro sinatonic	none
11L 8s	m-enhar checkertonic	none
12L 7s	m-enharmonic	meen
13L 6s	p-enhar archeotonic	none
14L 5s	p-enhar semiquartal	none
15L 4s	paha-smitonic	none
16L 3s	paha-sephiroid	none
17L 2s	m-chro liesic	none
20-note mosses
Pattern	Name	Prefix
4L 16s	uha-tetrawood	none
5L 15s	s-enhar pentawood	none
6L 14s	s-enhar ekic	none
7L 13s	f-enhar archeotonic	none
8L 12s	f-enhar tetrawood	none
9L 11s	f-enhar balzano	none
10L 10s	decawood	decwd
11L 9s	m-enhar balzano	none
12L 8s	m-enhar tetrawood	none
13L 7s	m-enhar archeotonic	none
14L 6s	p-enhar ekic	none
15L 5s	p-enhar pentawood	none
16L 4s	paha-tetrawood	none
21-note mosses
Pattern	Name	Prefix
2L 19s	s-enhar liesic	none
4L 17s	uha-gramitonic	none
5L 16s	uha-machinoid	none
6L 15s	s-enhar hyrulic	none
7L 14s	p-chro septawood	none
8L 13s	f-enhar oneirotonic	none
9L 12s	f-enhar tcherepnin	none
10L 11s	f-enhar antisinatonic	none
11L 10s	m-enhar antisinatonic	none
12L 9s	m-enhar tcherepnin	none
13L 8s	m-enhar oneirotonic	none
14L 7s	m-chro septawood	none
15L 6s	p-enhar hyrulic	none
16L 5s	paha-machinoid	none
17L 4s	paha-gramitonic	none
19L 2s	p-enhar liesic	none
22-note mosses
Pattern	Name	Prefix
3L 19s	zheligowskic	zheli
4L 18s	uha-lime	none
5L 17s	reinhardic	none
6L 16s	s-enhar lemon	none
7L 15s	s-enhar pine	none
8L 14s	f-enhar ekic	none
9L 13s	f-enhar gramitonic	none
10L 12s	f-enhar jaric	none
11L 11s	11-wood	none
12L 10s	m-enhar jaric	none
13L 9s	m-enhar gramitonic	none
14L 8s	m-enhar ekic	none
15L 7s	p-enhar pine	none
16L 6s	p-enhar lemon	none
17L 5s	protofractalic	none
18L 4s	paha-lime	none
19L 3s	giedraitic	kai
23-note mosses
Pattern	Name	Prefix
2L 21s	uha-liesic	none
5L 18s	uha-oneirotonic	none
6L 17s	uso-machinoid	none
7L 16s	s-enhar superdiatonic	none
8L 15s	f-enhar pine	none
9L 14s	f-enhar semiquartal	none
10L 13s	f-enhar sephiroid	none
11L 12s	miha-antisinatonic	none
12L 11s	quha-antisinatonic	none
13L 10s	m-enhar sephiroid	none
14L 9s	m-enhar semiquartal	none
15L 8s	m-enhar pine	none
16L 7s	p-enhar superdiatonic	none
17L 6s	paso-machinoid	none
18L 5s	paha-oneirotonic	none
21L 2s	paha-liesic	none
24-note mosses
Pattern	Name	Prefix
5L 19s	uha-semiquartal	none
6L 18s	s-enhar hexawood	none
7L 17s	s-enhar dicoid	none
8L 16s	p-chro octawood	none
9L 15s	f-enhar hyrulic	none
10L 14s	f-enhar lime	none
11L 13s	miha-balzano	none
12L 12s	12-wood	none
13L 11s	quha-balzano	none
14L 10s	m-enhar lime	none
15L 9s	m-enhar hyrulic	none
16L 8s	m-chro octawood	none
17L 7s	p-enhar dicoid	none
18L 6s	p-enhar hexawood	none
19L 5s	paha-semiquartal	none