TAMNAMS Extension
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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 (whether it's a child, grandchild, etc) and what step ratio produces that descendant, added as a prefix to the name. This section is currently work-in-progress and currently describes two systems devised by Frostburn and Ganaram inukshuk.
| Child (1st descendant) | Grandchild (2nd descendant) | Great-grandchild (3rd descendant) | kth descendant | Other notes | |
|---|---|---|---|---|---|
| Frostburn's proposal | (prefix)-chro (parent's name) | (prefix)-enhar (grandparent's name) | (prefix)-(great-grandparent's name) | ||
| Ganaram's proposal | (prefix)-chromatic (mos-name)
(prefix)-(mos-prefix)chromatic |
(prefix)-enharmonic (mos-name)
(prefix)-(mos-prefix)enharmonic |
(prefix)-subchromatic (mos-name)
(prefix)-(mos-prefix)subchromatic |
kth-descendant (mos-name)
kth-(mos-prefix)descendant |
Prefixes are optional.
Names are work-in-progress. |
| 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 | uso- | 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 |
| kL ks | k-wood | kwd | kw |
Diatonic family
This system introduces the following names for (grand)daughters of diatonic 5L 2s.
| 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 pythagorean 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
Specific names for mosses with 11 to 15 notes
| 11-note mosses | |||
|---|---|---|---|
| Pattern | Suggested name(s) | Proposed by | Reasoning |
| 1L 10s | tanzanite or tenorite | Ganaram inukshuk | More naming puns (tenzanite or tenorite). Prefix is tan-. |
| 4L 7s | kleistonic | Restoration of a noteworthy, former name. References the kleismic family of temperaments. Prefix is klei-.
Extension name is p-chro smitonic, hard-chromatic smitonic, or hard smichromatic, depending on scheme. | |
| 7L 4s | suprasmitonic | Restoration of a noteworthy, former name.
Extension name is m-chro smitonic, soft-chromatic smitonic, or soft smichromatic, depending on scheme. Prefix is susmi-. | |
| daemotonic | Eliora | Various reasons; see 7L 4s. | |
| 9L 2s | villatonic | Ganaram inukshuk | Indirectly references avila and casablanca temperaments. Prefix is vil-. |
| ultradiatonic, superarmotonic | CompactStar | In reference to diatonic and armotonic. | |
| 12-note mosses | |||
| Pattern | Suggested name(s) | Proposed by | Reasoning |
| 1L 11s | helenite | Ganaram inukshuk | In reference to the "ele" substring found in the word "eleven". Prefix is hel-. |
| 5L 7s | p-chromatic | Restoration of a noteworthy, former name. | |
| 6L 6s | hexawood | Extension of -wood scales; coincidentally references hexe temperament. | |
| 7L 5s | m-chromatic | Restoration of a noteworthy, former name. | |
| 13-note mosses | |||
| Pattern | Suggested name(s) | Proposed by | Reasoning |
| 1L 12s | zircon | Ganaram inukshuk | Zircon is used as a birthstone for December. Prefix is zir-. |
| 11L 2s | hendecoid | Eliora | From Greek "eleven"; references how "its generator is so close to 11/8 as to be called nothing but that" and that it has 11 large steps. Prefix is hen-. |
| 14-note mosses | |||
| Pattern | Suggested name(s) | Proposed by | Reasoning |
| 7L 7s | heptawood | Extension of -wood scales. | |
| 13L 1s | trollic | Godtone | The name proposed by Godtone refers to 12L 1s, but it refers to 13L 1s as a troll move. Prefix is tro-. |
Other names for mosses with 16 or more notes
| Other higher note count mosses | ||||
|---|---|---|---|---|
| Note count | Pattern | Suggested name(s) | Proposed by | Reasoning |
| 17 | 2L 15s | liesic | Frostburn | Frostburn's naming scheme only goes up to 3 generations, so this name is suggested. Prefix is lisa-. |
| 19 | 3L 16s | magicaltonic | Xenllium | In reference to magic temperament. |
| 16L 3s | muggletonic | Xenllium | In reference to muggle temperament. | |
| 21 | 10L 11s | miracloid | Eliora | In reference to miracle temperament. |
| 22 | 3L 19s | zheligowskic | Frostburn | In reference to Lucjan Żeligowski leading fights against the town of Giedraičiai. Proposed prefix is "zheli-". |
| 19L 3s | giedraitic | Frostburn | Named after the basic magic layout of Kite Giedraitis' guitar. Proposed prefix is "kai-". | |
| 21L 1s | escapist | Eliora | References escapade temperament, which is supported by both 21edo and 22edo, covering the entire range. | |
| 23 | 22L 1s | quartismoid | Eliora | Five generators of roughly 33/32 quartertone are equal to 7/6 in the harmonic entropy minimum; also, the extreme ranges of 22edo and 23edo both support this mos. |
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.
| 11-note mosses | ||
|---|---|---|
| Pattern | Name | Prefix |
| 1L 10s | tanzanite (p-chro antisinatonic) |
tan |
| 2L 9s | antivillatonic (p-chro balzano) |
anvil |
| 3L 8s | p-chro checkertonic | none |
| 4L 7s | kleistonic (p-chro smitonic) |
klei |
| 5L 6s | p-chro machinoid | none |
| 6L 5s | m-chro machinoid | none |
| 7L 4s | daemotonic (m-chro smitonic) |
susmi |
| 8L 3s | m-chro checkertonic | none |
| 9L 2s | villatonic (m-chro balzano) |
vil |
| 10L 1s | antitanzanite (m-chro antisinatonic) |
antan |
| 12-note mosses | ||
| Pattern | Name | Prefix |
| 1L 11s | helenite (s-enhar antisinatonic) |
hel |
| 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 | antihelenite (p-enhar antisinatonic) |
anhel |
| 13-note mosses | ||
| Pattern | Name | Prefix |
| 1L 12s | zircon (uha-antisinatonic) |
zir |
| 2L 11s | antihendecoid (s-enhar balzano) |
anhen |
| 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 | hendecoid (p-enhar balzano) |
hen |
| 12L 1s | antizircon (paha-antisinatonic) |
anzir |
| 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 | heptawood | heptwd |
| 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 | octwd |
| 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 | enneawood | ennwd |
| 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 | magicaltonic (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 | muggletonic (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 | hendecawood | hedwd |
| 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 | dodecawood | dodwd |
| 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 |