TAMNAMS Extension

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This is a systematic extension for the TAMNAMS MOS scale naming system based on parent / grandparent relationships. 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.

Diatonic family

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

Diatonic family tree
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.
Pattern Name Notes
12L 5s p-enharmonic Enharmonic scale from 3/2 generator.
5L 12s s-enharmonic Enharmonic scale of superpyth.
7L 12s m-enharmonic Enharmonic scale of meantone.
12L 7s f-enharmonic Enharmonic scale of flattone.
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.
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.
Pattern Name Notes
41L 12s pythomerc Generator is 3/2. Transitional scale between ones dominated by pythagorean and mercator commas.


Trivial multi-MOS scales of n periods are named n-wood or spelled out resulting in: hexawood, septawood, octawood, nonawood and decawood.

Daughter scales

Rest of the MOS scales up to 10 notes are treated similarly to diatonic using the shorthand chro for chromatic. If the parent scale of a basic MOS scale is hard the name is p-chro (parent's name) e.g. p-chro machinoid for 5L 6s (s-chro machinoid is an alternative). On the other hand if the parent scale of a basic MOS is soft the name is m-chro (parent's name) e.g. m-chro machinoid for 6L 5s (f-chro machinoid is an alternative).

Granddaughter scales

Granddaughters are analogues of m-enharmonic, f-enharmonic, p-enharmonic and s-enharmonic. The system's shorthand for enharmonic is enhar.

Basic granddaughter scales
Grandparent step-ratio Name scheme
4:3 m-enhar (grandparent's name)
5:3 f-enhar (grandparent's name)
5:2 p-enhar (grandparent's name)
4:1 s-enhar (grandparent's name)

Great-granddaughter scales

Great-granddaughters derive names from the hardness of the great-grandparent scale e.g. minisoft becomes miso.

Basic great-granddaughter scales
Great-grandparent step-ratio Name scheme
5:4 uso-(great-grandparent's name)
7:5 paso-(great-grandparent's name)
8:5 quso-(great-grandparent's name)
7:4 miso-(great-grandparent's name)
7:3 miha-(great-grandparent's name)
8:3 quha-(great-grandparent's name)
7:2 paha-(great-grandparent's name)
5:1 uha-(great-grandparent's name)

Here's a sample of some scales this family-tree based system assigns names to.

TAMNAMS family-tree mos names
11-note mosses
Pattern Name
1L 10s p-chro antisinatonic
2L 9s p-chro balzano
3L 8s p-chro checkertonic
4L 7s p-chro smitonic
5L 6s p-chro machinoid
6L 5s m-chro machinoid
7L 4s m-chro smitonic
8L 3s m-chro checkertonic
9L 2s m-chro balzano
10L 1s m-chro antisinatonic
12-note mosses
Pattern Name
1L 11s s-enhar antisinatonic
2L 10s p-chro jaric
3L 9s p-chro tcherepnin
4L 8s p-chro tetrawood
8L 4s m-chro tetrawood
9L 3s m-chro tcherepnin
10L 2s m-chro jaric
11L 1s p-enhar antisinatonic

P-chro smitonic

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


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.


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 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.

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 m-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 f-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
1L 17s none none
2L 16s none none
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 m-enhar smitonic none
8L 10s p-chro taric none
9L 9s nonawood nonwd
10L 8s m-chro taric none
11L 7s f-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
16L 2s none none
17L 1s none none
19-note mosses
Pattern Name Prefix
1L 18s none none
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 m-enharmonic meen
8L 11s m-enhar checkertonic none
9L 10s p-chro sinatonic none
10L 9s m-chro sinatonic none
11L 8s f-enhar checkertonic none
12L 7s f-enharmonic flaen
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
18L 1s none none
20-note mosses
Pattern Name Prefix
1L 19s none none
2L 18s none none
3L 17s none none
4L 16s uha-tetrawood none
5L 15s s-enhar pentawood none
6L 14s s-enhar ekic none
7L 13s m-enhar archeotonic none
8L 12s m-enhar tetrawood none
9L 11s m-enhar balzano none
10L 10s decawood decwd
11L 9s f-enhar balzano none
12L 8s f-enhar tetrawood none
13L 7s f-enhar archeotonic none
14L 6s p-enhar ekic none
15L 5s p-enhar pentawood none
16L 4s paha-tetrawood none
17L 3s none none
18L 2s none none
19L 1s none none
21-note mosses
Pattern Name Prefix
1L 20s none none
2L 19s s-enhar liesic none
3L 18s none 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 m-enhar oneirotonic none
9L 12s m-enhar tcherepnin none
10L 11s m-enhar antisinatonic none
11L 10s f-enhar antisinatonic none
12L 9s f-enhar tcherepnin none
13L 8s f-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
18L 3s none none
19L 2s p-enhar liesic none
20L 1s none none
22-note mosses
Pattern Name Prefix
1L 21s none none
2L 20s none none
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 m-enhar ekic none
9L 13s m-enhar gramitonic none
10L 12s m-enhar jaric none
11L 11s 11-wood none
12L 10s f-enhar jaric none
13L 9s f-enhar gramitonic none
14L 8s f-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
20L 2s none none
21L 1s none none