User:Frostburn/TAMNAMS Extension
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This page is obsole! Mean-enharmonic should be swapped with flat-enharmonic, but I didn't have the code ready to re-generate the tables when this issue was raised. 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.
Diatonic family
This system introduces the following names for (grand)daughters of diatonic 5L 2s.
| Daughters | ||
|---|---|---|
| Pattern | Name | Notes |
| 5L 7s | pyth-chromatic | Chromatic scale from pythagorean generator 3/2 |
| 7L 5s | mean-chromatic | Chromatic scale of meantone |
| Granddaughters | ||
| Pattern | Name | Notes |
| 12L 5s | pyth-enharmonic | Enharmonic scale from 3/2 generator |
| 5L 12s | supy-enharmonic | Enharmonic scale of superpyth |
| 7L 12s | mean-enharmonic | Enharmonic scale of meantone |
| 12L 7s | flat-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. |
Woods
Trivial multi-MOS scales of n periods are named n-wood or spelled out resulting in: hexawood, septawood, octawood, nonawood and decawood.
Daughter scales
The system introduces stems derived from the prefixes of select MOS scales under 10 notes. If the parent of a basic MOS scale is hard the name is (stem)pechromic (analogous to pyth-chromatic). If the parent of a basic MOS scale is soft the name is (stem)mechromic (analogous to mean-chromatic).
Granddaughter scales
Granddaughters are analogues of mean-enharmonic, flat-enharmonic, pyth-enharmonic and supy-enharmonic.
| Basic granddaughter scales | |
|---|---|
| Grandparent step-ratio | Name scheme |
| 4:3 | (stem)menharmic |
| 5:3 | (stem)fenharmic |
| 5:2 | (stem)penharmic |
| 4:1 | (stem)senharmic |
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-(stem)tonic |
| 7:5 | paso-(stem)tonic |
| 8:5 | quso-(stem)tonic |
| 7:4 | miso-(stem)tonic |
| 7:3 | miha-(stem)tonic |
| 8:3 | quha-(stem)tonic |
| 7:2 | paha-(stem)tonic |
| 5:1 | uha-(stem)tonic |
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.
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.
| 6-note mosses | ||
|---|---|---|
| Pattern | Name | Stem |
| 5L 1s | machinoid | mecha |
| 7-note mosses | ||
| Pattern | Name | Stem |
| 4L 3s | smitonic | smi |
| 6L 1s | archeotonic | archeo |
| 8-note mosses | ||
| Pattern | Name | Stem |
| 3L 5s | checkertonic | checke |
| 4L 4s | tetrawood | tetwood |
| 5L 3s | oneirotonic | neiro |
| 6L 2s | ekic | eki |
| 7L 1s | pine | pine |
| 9-note mosses | ||
| Pattern | Name | Stem |
| 2L 7s | balzano | balo |
| 3L 6s | tcherepnin | chere |
| 4L 5s | gramitonic | grami |
| 5L 4s | semiquartal | chtono |
| 6L 3s | hyrulic | hyru |
| 7L 2s | superdiatonic | armo |
| 8L 1s | subneutralic | blu |
| 10-note mosses | ||
| Pattern | Name | Stem |
| 1L 9s | antisinatonic | asina |
| 2L 8s | jaric | jara |
| 3L 7s | sephiroid | sephi |
| 4L 6s | lime | lime |
| 5L 5s | pentawood | penwood |
| 6L 4s | lemon | lemo |
| 7L 3s | dicoid | dico |
| 8L 2s | taric | tara |
| 9L 1s | sinatonic | sina |
| 11-note mosses | ||
| Pattern | Name | Stem |
| 1L 10s | asinapechromic | none |
| 2L 9s | balopechromic | none |
| 3L 8s | checkepechromic | none |
| 4L 7s | smipechromic | none |
| 5L 6s | mechapechromic | none |
| 6L 5s | mechamechromic | none |
| 7L 4s | smimechromic | none |
| 8L 3s | checkemechromic | none |
| 9L 2s | balomechromic | none |
| 10L 1s | asinamechromic | none |
| 12-note mosses | ||
| Pattern | Name | Stem |
| 1L 11s | asinasenharmic | none |
| 2L 10s | jarapechromic | none |
| 3L 9s | cherepechromic | none |
| 4L 8s | tetwoodpechromic | none |
| 5L 7s | pyth-chromatic | pychro |
| 6L 6s | hexawood | hexwood |
| 7L 5s | mean-chromatic | mellow |
| 8L 4s | tetwoodmechromic | none |
| 9L 3s | cheremechromic | none |
| 10L 2s | jaramechromic | none |
| 11L 1s | asinapenharmic | none |
| 13-note mosses | ||
| Pattern | Name | Stem |
| 1L 12s | uha-asinatonic | none |
| 2L 11s | balosenharmic | none |
| 3L 10s | sephipechromic | none |
| 4L 9s | gramipechromic | none |
| 5L 8s | neiropechromic | none |
| 6L 7s | archeopechromic | none |
| 7L 6s | archeomechromic | none |
| 8L 5s | neiromechromic | none |
| 9L 4s | gramimechromic | none |
| 10L 3s | sephimechromic | none |
| 11L 2s | balopenharmic | none |
| 12L 1s | paha-asinatonic | none |
| 14-note mosses | ||
| Pattern | Name | Stem |
| 1L 13s | antrollic | antro |
| 2L 12s | jarasenharmic | none |
| 3L 11s | checkesenharmic | none |
| 4L 10s | limepechromic | none |
| 5L 9s | chtonopechromic | none |
| 6L 8s | ekipechromic | none |
| 7L 7s | septawood | septwood |
| 8L 6s | ekimechromic | none |
| 9L 5s | chtonomechromic | none |
| 10L 4s | limemechromic | none |
| 11L 3s | checkepenharmic | none |
| 12L 2s | jarapenharmic | none |
| 13L 1s | trollic | tro |
| 15-note mosses | ||
| Pattern | Name | Stem |
| 1L 14s | antropechromic | none |
| 2L 13s | uha-balotonic | none |
| 3L 12s | cheresenharmic | none |
| 4L 11s | smisenharmic | none |
| 5L 10s | penwoodpechromic | none |
| 6L 9s | hyrupechromic | none |
| 7L 8s | pinepechromic | none |
| 8L 7s | pinemechromic | none |
| 9L 6s | hyrumechromic | none |
| 10L 5s | penwoodmechromic | none |
| 11L 4s | smipenharmic | none |
| 12L 3s | cherepenharmic | none |
| 13L 2s | paha-balotonic | none |
| 14L 1s | antromechromic | none |
| 16-note mosses | ||
| Pattern | Name | Stem |
| 1L 15s | antrosenharmic | none |
| 2L 14s | uha-jaratonic | none |
| 3L 13s | sephisenharmic | none |
| 4L 12s | tetwoodsenharmic | none |
| 5L 11s | mechasenharmic | none |
| 6L 10s | lemopechromic | none |
| 7L 9s | armopechromic | none |
| 8L 8s | octawood | octwood |
| 9L 7s | armomechromic | none |
| 10L 6s | lemomechromic | none |
| 11L 5s | mechapenharmic | none |
| 12L 4s | tetwoodpenharmic | none |
| 13L 3s | sephipenharmic | none |
| 14L 2s | paha-jaratonic | none |
| 15L 1s | antropenharmic | none |
| 17-note mosses | ||
| Pattern | Name | Stem |
| 1L 16s | uha-antrotonic | none |
| 2L 15s | liesic | lisa |
| 3L 14s | uha-checketonic | none |
| 4L 13s | gramisenharmic | none |
| 5L 12s | supy-enharmonic | supen |
| 6L 11s | mechamenharmic | none |
| 7L 10s | dicopechromic | none |
| 8L 9s | blupechromic | none |
| 9L 8s | blumechromic | none |
| 10L 7s | dicomechromic | none |
| 11L 6s | mechafenharmic | none |
| 12L 5s | pyth-enharmonic | pyen |
| 13L 4s | gramipenharmic | none |
| 14L 3s | paha-checketonic | none |
| 15L 2s | antiliesic | alisa |
| 16L 1s | paha-antrotonic | none |
| 18-note mosses | ||
| Pattern | Name | Stem |
| 1L 17s | none | none |
| 2L 16s | none | none |
| 3L 15s | uha-cheretonic | none |
| 4L 14s | limesenharmic | none |
| 5L 13s | neirosenharmic | none |
| 6L 12s | hexwoodpechromic | none |
| 7L 11s | smimenharmic | none |
| 8L 10s | tarapechromic | none |
| 9L 9s | nonawood | nonwood |
| 10L 8s | taramechromic | none |
| 11L 7s | smifenharmic | none |
| 12L 6s | hexwoodmechromic | none |
| 13L 5s | neiropenharmic | none |
| 14L 4s | limepenharmic | none |
| 15L 3s | paha-cheretonic | none |
| 16L 2s | none | none |
| 17L 1s | none | none |
| 19-note mosses | ||
| Pattern | Name | Stem |
| 1L 18s | none | none |
| 2L 17s | lisapechromic | none |
| 3L 16s | uha-sephitonic | none |
| 4L 15s | uha-smitonic | none |
| 5L 14s | chtonosenharmic | none |
| 6L 13s | archeosenharmic | none |
| 7L 12s | mean-enharmonic | meen |
| 8L 11s | checkemenharmic | none |
| 9L 10s | sinapechromic | none |
| 10L 9s | sinamechromic | none |
| 11L 8s | checkefenharmic | none |
| 12L 7s | flat-enharmonic | flaen |
| 13L 6s | archeopenharmic | none |
| 14L 5s | chtonopenharmic | none |
| 15L 4s | paha-smitonic | none |
| 16L 3s | paha-sephitonic | none |
| 17L 2s | lisamechromic | none |
| 18L 1s | none | none |
| 20-note mosses | ||
| Pattern | Name | Stem |
| 1L 19s | none | none |
| 2L 18s | none | none |
| 3L 17s | none | none |
| 4L 16s | uha-tetwoodtonic | none |
| 5L 15s | penwoodsenharmic | none |
| 6L 14s | ekisenharmic | none |
| 7L 13s | archeomenharmic | none |
| 8L 12s | tetwoodmenharmic | none |
| 9L 11s | balomenharmic | none |
| 10L 10s | decawood | decwood |
| 11L 9s | balofenharmic | none |
| 12L 8s | tetwoodfenharmic | none |
| 13L 7s | archeofenharmic | none |
| 14L 6s | ekipenharmic | none |
| 15L 5s | penwoodpenharmic | none |
| 16L 4s | paha-tetwoodtonic | none |
| 17L 3s | none | none |
| 18L 2s | none | none |
| 19L 1s | none | none |
| 21-note mosses | ||
| Pattern | Name | Stem |
| 1L 20s | none | none |
| 2L 19s | lisasenharmic | none |
| 3L 18s | none | none |
| 4L 17s | uha-gramitonic | none |
| 5L 16s | uha-mechatonic | none |
| 6L 15s | hyrusenharmic | none |
| 7L 14s | septwoodpechromic | none |
| 8L 13s | neiromenharmic | none |
| 9L 12s | cheremenharmic | none |
| 10L 11s | asinamenharmic | none |
| 11L 10s | asinafenharmic | none |
| 12L 9s | cherefenharmic | none |
| 13L 8s | neirofenharmic | none |
| 14L 7s | septwoodmechromic | none |
| 15L 6s | hyrupenharmic | none |
| 16L 5s | paha-mechatonic | none |
| 17L 4s | paha-gramitonic | none |
| 18L 3s | none | none |
| 19L 2s | lisapenharmic | none |
| 20L 1s | none | none |
| 22-note mosses | ||
| Pattern | Name | Stem |
| 1L 21s | none | none |
| 2L 20s | none | none |
| 3L 19s | zheligowskic | zheli |
| 4L 18s | uha-limetonic | none |
| 5L 17s | reinhardic | none |
| 6L 16s | lemosenharmic | none |
| 7L 15s | pinesenharmic | none |
| 8L 14s | ekimenharmic | none |
| 9L 13s | gramimenharmic | none |
| 10L 12s | jaramenharmic | none |
| 11L 11s | 11-wood | none |
| 12L 10s | jarafenharmic | none |
| 13L 9s | gramifenharmic | none |
| 14L 8s | ekifenharmic | none |
| 15L 7s | pinepenharmic | none |
| 16L 6s | lemopenharmic | none |
| 17L 5s | protofractalic | none |
| 18L 4s | paha-limetonic | none |
| 19L 3s | giedraitic | kai |
| 20L 2s | none | none |
| 21L 1s | none | none |