User:Moremajorthanmajor/TAMNAMS Extension
This is a system for describing and naming mos scales beyond the set of named TAMNAMS mosses. Both User:Frostburn (User:Frostburn/TAMNAMS Extension) and I have similar systems for how to name mos descendants. However, this page describes several more systems that apply to non-octave mosses.
The schemes proposed here are not meant to be a definitive naming scheme. Rather, it's meant to be a starting point for a naming scheme discussion. Some parts of this page also serves as a sandbox.
The scope of this TAMNAMS extension is as follows:
- Systematically name mosses beyond the named range by how they're related to TAMNAMS-named mosses. The most common way of doing this is by considering what mosses descend from a TAMNAMS-named mos.
- Secondarily, propose unique names, or provide suggestions for possible names, for certain mosses in case they're worth having distinct names. Some of these names are old names that have been around long enough to be memorable.
- Catalog any names that had already existed or have been proposed elsewhere on the wiki.
- Secondarily, propose unique names, or provide suggestions for possible names, for certain mosses in case they're worth having distinct names. Some of these names are old names that have been around long enough to be memorable.
- Systematically name mosses regardless of the equave. Such names should be as general as possible. Names for mosses with no more than 10 notes are prioritized.
- Propose names for 3/2 (fifth) and 3/1 (tritave) equivalent mosses, or provide suggestions for possible name ideas. Names for mosses with no more than 10 notes are prioritized.
Naming mos descendants
To name mosses that have more than 10 notes, rather than giving mosses unique names, names are based on how they're related to another (named) mos and, optionally, what step ratio is needed for the parent to produce that mos.
Base names | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Parent mos | Child (1st descendant) | Grandchild (2nd descendant) | Great-grandchild (3rd descendant) | kth descendant | |||||||
(mos-name) | (step-ratio)-chromatic (mos-name)
(step-ratio)-chro (mos-name) (step-ratio)-(mos-prefix)enharmonic |
(step-ratio)-enharmonic (mos-name)
(step-ratio)-enhar (mos-name) (step-ratio)-(mos-prefix)enharmonic |
(step-ratio)-subchromatic (mos-name)
(step-ratio)-subchro (mos-name) (step-ratio)-(mos-prefix)subchromatic |
(kth) (mos-name) descendant
(kth)-(mos-prefix)descendant | |||||||
Step ratio prefixes (optional) | |||||||||||
Parent mos | Child (1st descendant) | Grandchild (2nd descendant) | Great-grandchild (3rd descendant) | kth descendant | |||||||
Mos | L:s range | Mos | L:s range | Prefix | Mos | L:s range | Prefix | Mos | L:s range | Prefix | Prefixes not applicable |
xL ys | 1:1 to 1:0 | (x+y)L xs | 1:1 to 2:1
(general soft range) |
s- | (x+y)L (2x+y)s | 1:1 to 3:2
(soft) |
s- | (x+y)L (3x+2y)s | 1:1 to 4:3
(ultrasoft) |
us- | |
(3x+2y)L (x+y)s | 4:3 to 3:2
(parasoft) |
ps- | |||||||||
(2x+y)L (x+y)s | 3:2 to 2:1
(hyposoft) |
os- | (3x+2y)L (2x+y)s | 3:2 to 5:3
(quasisoft) |
qs- | ||||||
(2x+y)L (3x+2y)s | 5:3 to 2:1
(minisoft) |
ms- | |||||||||
xL (x+y)s | 2:1 to 1:0
(general hard range) |
h- | (2x+y)L xs | 2:1 to 3:1
(hypohard) |
oh- | (2x+y)L (3x+y)s | 2:1 to 5:2
(minihard) |
mh- | |||
(3x+y)L (2x+y)s | 5:2 to 3:1
(quasihard) |
qh- | |||||||||
xL (2x+y)s | 3:1 to 1:0
(hard) |
h- | (3x+y)L xs | 3:1 to 4:1
(parahard) |
ph- | ||||||
xL (3x+y)s | 4:1 to 1:0
(ultrahard) |
uh- |
Mos descendant names have two main forms: a multi-part name, where the base name (chromatic, enharmonic, subchromatic, and descendant) and mos name are separate words, and a one-part name, formed by prefixing the mos's prefix to the base names. The latter is recommended for mosses with no more than three periods, as the only 4 and 5-period mosses named by TAMNAMS are tetrawood and pentawood respectively. If a step ratio is specified for the former, it may be written out fully instead of prefixed to the base word.
The term kth descendant can be used to refer to any mos that descends from another mos, regardless of how many generations apart the two are. To find the number of generations n separating the two mosses, use the following algorithm:
- Let z and w be the number of large and small steps of the parent mos to be found. Assign to z and w the values x and y respectively. Let n = 0, where n is the number of generations away from zL ws.
- Let m1 be equal to max(z, w) and m2 be equal to min(z, w).
- Assign to z the value m2 and w the value m1-m2. Increment n by 1.
- If the sum of z and w is no more than 10, then the parent mos is zL ws and is n generations from the mos descendant xL ys. If not, repeat the process starting at step 2.
As diatonic (5L 2s) doesn't have a prefix, the terms chromatic, enharmonic, and subchromatic by themselves (and with no other context suggesting a non-diatonic mos) refer to 1st (child), 2nd (grandchild), and 3rd (great-grandchild) diatonic descendants. For consistency, mos descendant names apply to mosses whose child mosses exceed 10 notes. Since all mosses ultimately descend from some nL ns mos, every possible descendant up to 5 periods will be related to a named mos.
6-note mosses | Chromatic mosses | Enharmonic mosses | |||
---|---|---|---|---|---|
Pattern | Name | Patterns | Names | Patterns | Names |
1L 5s | antimachinoid | 1L 6s, 6L 1s | onyx, arch(a)eotonic | 1A 7B, 6A 7B | antipine, pine; atetarquintal, tetarquintal |
2L 4s | malic | 2L 6s, 6L 2s | subaric, ekic | 2A 8B, 6A 8B | jaric, taric; ekchromatic |
3L 3s | triwood: augmented | 3L 6s, 6L 3s | tcherepnin, hyrulic | 3A 9B, 6A 9B | sergic, ivanic; hyruchromatic |
4L 2s | citric | 4L 6s, 6L 4s | lime, lemon | 4A 10B, 6A 10B | limechromatic, lemchromatic |
5L 1s | machinoid | 5L 6s, 6L 5s | xeimtonic, antixeimtonic | 5A 11B, 6A 11B | xeimchromattic, axeimchromatic |
7-note mosses | Chromatic mosses | Enharmonic mosses | |||
Pattern | Name | Patterns | Names | Patterns | Names |
1L 6s | onyx | 1L 7s, 7L 1s | antipine, pine | 1A 8B, 7A 8B | antisubneutralic, subneutralic; pinechromatic |
2L 5s | antidiatonic | 2L 7s, 7L 2s | balzano, superdiatonic | 2A 9B, 7A 9B | joanatonic, ultradiatonic; armochromatic |
3L 4s | mosh | 3L 7s, 7L 3s | sephiroid, dicoid | 3A 10B, 7A 10B | magitonic, luachoid; dicochromatic |
4L 3s | smitonic | 4L 7s, 7L 4s | kleistonic, suprasmitonic | 4A 11B, 7A 11B | kleichromatic, suprasmichromatic |
5L 2s | diatonic | 5L 7s, 7L 5s | chromatic | 5A 12B, 7A 12B | enharmonic |
6L 1s | arch(a)eotonic | 6L 7s, 7L 6s | antitetarquintal, tetarquintal | 6A 13B, 7A 13B | atetarquinchromatic, tetarquinchromatic |
8-note mosses | Chromatic mosses | Enharmonic mosses | |||
Pattern | Name | Patterns | Names | Patterns | Names |
1L 7s | antipine | 1L 8s, 8L 1s | antisubneutralic, subneutralic | 1A 9B, 8A 9B | antisinatonic, sinatonic; bluchromatic |
2L 6s | subaric | 2L 8s, 8L 2s | jaric, taric | 2A 10B, 8A 10B | rujaric, talaric; tarachromatic |
3L 5s | checkertonic | 3L 8s, 8L 3s | squaroid, sensoid | 3A 11B, 8A 11B | squarochromatic, sensochromatic |
4L 4s | tetrawood; diminished | 4L 8s, 8L 4s | chromatic diminished | 4A 12B, 8A 12B | enharmonic diminished |
5L 3s | oneirotonic | 5L 8s, 8L 5s | antipetroid, petroid | 5A 13B, 8A 13B | apetrochromatic, petrochromatic |
6L 2s | ekic | 6L 8s, 8L 6s | ekchromatic | 6A 14B, 8A 14B | ekenharmonic |
7L 1s | pine | 7L 8s, 8L 7s | pinechromatic | 7A 15B, 8A 15B | pinenharmonic |
9-note mosses | Chromatic mosses | Enharmonic mosses | |||
Pattern | Name | Patterns | Names | Patterns | Names |
1L 8s | antisubneutralic | 1L 9s, 9L 1s | antisinatonic, sinatonic | 1A 10B, 9A 10B | tenorite, miratonic; sinachromatic |
2L 7s | balzano | 2L 9s, 9L 2s | joanatonic, ultradiatonic | 2A 11B, 9A 11B | litonic, hendecoid; ultrachromatic |
3L 6s | tcherepnin | 3L 9s, 9L 3s | sergic, ivanic | 3A 12B, 9A 12B | sergichromatic, ivanichromatic |
4L 5s | gramitonic | 4L 9s, 9L 4s | huxloga, orwelloid | 4A 13B, 9A 13B | huxlochromatic, orwellchromatic |
5L 4s | semiquartal | 5L 9s, 9L 5s | chtonchromatic | 5A 14B, 9A 14B | chtonenharmonic |
6L 3s | hyrulic | 6L 9s, 9L 6s | hyruchromatic | 6A 15B, 9A 15B | hyrenharmonic |
7L 2s | superdiatonic | 7L 9s, 9L 7s | armochromatic | 7A 16B, 9A 16B | armenharmonic |
8L 1s | subneutralic | 8L 9s, 9L 8s | bluchromatic | 8A 17B, 9A 17B | bluenharmonic |
10-note mosses | Chromatic mosses | Enharmonic mosses | |||
Pattern | Name | Patterns | Names | Patterns | Names |
1L 9s | antisinatonic | 1L 10s, 10L 1s | tenorite, miratonic | 1A 11B, 10A 11B | helenite, ripploid; miracloid, antimiracloid |
2L 8s | jaric | 2L 10s, 10L 2s | rujaric, talaric | 2A 12B, 10A 12B | rujachromatic, talachromatic |
3L 7s | sephiroid | 3L 10s, 10L 3s | magitonic, luachoid | 3A 13B, 10A 13B | magichromatic, luachromatic |
4L 6s | lime | 4L 10s, 10L 4s | limechromatic | 4A 14B, 10A 14B | limenharmonic |
5L 5s | pentawood; blackwood | 5L 10s, 10L 5s | chromatic blackwood | 5A 15B, 10A 15B | enharmonic blackwood |
6L 4s | lemon | 6L 10s, 10L 6s | lemchromatic | 6A 16B, 10A 16B | lemenharmonic |
7L 3s | dicoid | 7L 10s, 10L 7s | dicochromatic | 7A 17B, 10A 17B | dicoenharmonic |
8L 2s | taric | 8L 10s, 10L 8s | tarachromatic | 8A 18B, 10A 18B | tarenharmonic |
9L 1s | sinatonic | 9L 10s, 10L 9s | sinachromatic | 9A 19B, 10A 19B | sinenharmonic |
Names for mosses beyond 10 notes
This section outlines proposed names and naming suggestions for mosses beyond 10 notes.
Extended k-wood names
To name mos descendants with more than 5 periods, the names for wood mosses are extended to hexawood, heptawood, octawood, enneawood, and decawood. (This is not too different from Frostburn's proposal.) Names for descendants for these scales follow the same scheme as with other TAMNAMS-named mosses.
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 | dekwd- | dkw |
11L 11s | 11-wood | 11-wud- | 11wd |
12L 12s | 12-wood | 12-wud | 12wd |
etc... |
Specific names for mosses beyond 10 notes (proposed)
These names are intended for notable mosses outside the named range for which its mos descendant name would be insufficient.
11-note mosses | |||
---|---|---|---|
Mos | Suggested name(s) | Proposed by | Reasoning |
1L 10s | tanzanite or tenorite | User:Ganaram inukshuk | More naming puns (tenzanite or tenorite) |
2L 9s | joanatonic | Restoration of an old name that applied to its parent scale | |
3L 8s | squaroid | Restoration of an old name | |
4L 7s | p-chromatic smitonic
soft-chromatic smitonic soft smichromatic |
TAMNAMS descendant mos naming schemes | |
kleistonic | Restoration of an old name | ||
angelic or ecclesial | User:Eliora | ||
5L 6s | xeimtonic | Restoration of an old name | |
6L 5s | |||
7L 4s | suprasmitonic | Restoration of an old name | |
demonic or infernal | User:Eliora | Described as being "furthest removed from typical xen approaches of RTT or JI." | |
daemotonic | User:Ganaram inukshuk | Alternative for name described above. | |
8L 3s | sentonic or sensoid | Modification or restoration of an old name that applied to its parent scale | |
9L 2s | villatonic | User:Ganaram inukshuk | Indirectly references avila and casablanca (Spanish for "white house", and a villa is a type of house) temperaments |
ultradiatonic, superarmotonic | User:CompactStar | In reference to diatonic and armotonic | |
10L 1s | miratonic or miraculoid | User:Ganaram inukshuk | Modification or restoration of an old name (miraculoid); reference miracle temperament |
12-note mosses | |||
Mos | Suggested name(s) | Proposed by | Reasoning |
1L 11s | helenite | User:Ganaram inukshuk | In reference to the "ele" substring found in the word "eleven" |
2L 10s | rujaric | User:Ganaram inukshuk | Named based off of injera and shrutar temperaments |
3L 9s | sergic | User:Ganaram inukshuk | Named after one of Alexander Nikolayevich Tcherepnin's sons |
4L 8s | |||
5L 7s | p-chromatic | Restoration of an old name | |
6L 6s | hexawood | Extension of -wood scales; coincidentally references hexe temperament | |
7L 5s | m-chromatic | Restoration of an old name | |
8L 4s | |||
9L 3s | ivanic | User:Ganaram inukshuk | Named after one of Alexander Nikolayevich Tcherepnin's sons |
10L 2s | talaric | User:Ganaram inukshuk | Names based off of srutal/pajara temepraments |
11L 1s | ripploid | User:Ganaram inukshuk | Restoration of an old name |
13-note mosses | |||
Mos | Suggested name(s) | Proposed by | Reasoning |
1L 12s | zircon | User:Ganaram inukshuk | Zircon is used as a birthstone for December |
2L 11s | litonic | User:Ganaram inukshuk | Portmanteau of liese, triton, and tritonic temperaments |
3L 10s | magitonic or mystic | User:Ganaram inukshuk | In reference to magic temperament |
4L 9s | huxloga | User:Ganaram inukshuk | Portmanteau of huxley, lovecraft, and gariberttet temperaments |
5L 8s | |||
6L 7s | |||
7L 6s | tetarquintal | User:Ganaram inukshuk | Indirect reference to tetracot temperament, which divides the perfect 5th (3/2) into four |
8L 5s | petroid | Restoration of an old name | |
9L 4s | orwelloid | Restoration of an old name that applied to its parent scale | |
10L 3s | luachoid | Already proposed name | |
11L 2s | maioquartal | User:Ganaram inukshuk | In reference to the "major fourths" scale used by Tcherepnin |
hendecoid | User:Eliora | From Greek "eleven", references how "its generator is so close to 11/8 as to be called nothing but that". | |
12L 1s | quasidozenal | User:Ganaram inukshuk | Meant to invoke the phrase "almost twelve" |
14-note mosses | |||
Mos | Suggested name(s) | Proposed by | Reasoning |
11L 3s | ketradektriatoh | User:Osmiorisbendi | Already established name |
13L 1s | trollic | User:Godtone | Refers to 12L 1s, but refers to 13L 1s as a troll move |
15-note mosses | |||
Mos | Suggested name(s) | Proposed by | Reasoning |
14L 1s | sextiliquartal | User:Eliora | Already proposed name, references temperaments that divide 4/3 into 6 pieces |
Other higher note count mosses | ||||
---|---|---|---|---|
Note count | Mos | Suggested name(s) | Proposed by | Reasoning |
17 | 2L 15s | liesic | User:Frostburn | Frostburn's extension scheme stops here, so this name is suggested |
21 | 10L 11s | miracloid | User:Eliora | In reference to miracle temperament |
22 | 3L 19s | zheligowskic | User:Frostburn | In reference to Lucjan Żeligowski leading fights against the town of Giedraičiai. |
19L 3s | giedraitic | User:Frostburn | Named after the basic magic layout of Kite Giedraitis' guitar. | |
21L 1s | escapist | User:Eliora | References escapade temperament, which is supported by both 21edo and 22edo, covering the entire range. | |
23 | 22L 1s | quartismoid | User: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. |
25 | 4L 21s | moulinoid | User:Eliora | In reference to moulin temperament |
Non-octave extensions (proposed)
Since the perfect 5th and tritave (or perfect 12th) are the two most common non-octave equivalence intervals for which there are scales described, mosses for these two intervals should be the most likely to receive TAMNAMS-like names. For mosses with any other equivalence interval, describing nested mos structures, or in situations where the notion of an equivalence interval is unimportant, equave-agnostic names are proposed.
Equave-agnostic names (proposed)
This is a proposed scheme to name mosses regardless of the equivalence interval, These names are meant for nonoctave mosses and nested mos patterns such as with a mos cradle. These names are not final and are open to better suggestions.
4-note mosses (new names only) | ||||
---|---|---|---|---|
Mos | Name | Multi-period? | Prefix | Abbrev. |
2L 2s | double trivial | Yes (2) | 2triv- | 2trv |
6-note mosses | ||||
Mos | Name | Multi-period? | Prefix | Abbrev. |
1L 5s | anhexic | No | ahex- | ahx |
2L 4s | double antrial | Yes (2) | 2atri- | 2tri |
3L 3s | triple trivial | Yes (3) | 3triv- | 3trv |
4L 2s | double trial | Yes (2) | 2tri- | 2tri |
5L 1s | hexic | No | hex- | hx |
7-note mosses | ||||
Mos | Name | Multi-period? | Prefix | Abbrev. |
1L 6s | ansaptic | No | ansap- | asp |
2L 5s | anheptic | No | anhep- | ahp |
3L 4s | anseptenic | No | ansep- | asep |
4L 3s | septenic | No | sep- | sep |
5L 2s | heptic | No | hep- | hp |
6L 1s | saptic | No | sap- | sp |
8-note mosses | ||||
Mos | Name | Multi-period? | Prefix | Abbrev. |
1L 7s | anashtaic | No | anasht- | aasht |
2L 6s | double antetric | Yes (2) | 2atetra- | 2att |
3L 5s | anoctic | No | anoct- | aoct |
4L 4s | quadruple trivial | Yes (4) | 4triv- | 4trv |
5L 3s | octic | No | oct- | oct |
6L 2s | double tetric | Yes (2) | 2tetra- | 2tt |
7L 1s | ashtaic | No | asht- | asht |
9-note mosses | ||||
Mos | Name | Multi-period? | Prefix | Abbrev. |
1L 8s | annavic | No | annav- | anv |
2L 7s | anennaic | No | anenn- | aenn |
3L 6s | triple antrial | Yes (3) | 3atri- | 3atri |
4L 5s | annovemic | No | annov- | anv |
5L 4s | novemic | No | nov- | nv |
6L 3s | triple trial | Yes (3) | 3tri- | 3tri |
7L 2s | ennaic | No | enn- | enn |
8L 1s | navic | No | nav- | nv |
10-note mosses | ||||
Mos | Name | Multi-period? | Prefix | Abbrev. |
1L 9s | andashic | No | andash- | adsh |
2L 8s | double pedal | Yes (2) | 2ped- | 2ped |
3L 7s | andeckic | No | andeck- | adek |
4L 6s | double pentic | Yes (2) | 2pent- | 2pt |
5L 5s | quintuple trivial | Yes (5) | 5triv- | 5trv |
6L 4s | double anpentic | Yes (2) | 2apent- | 2apt |
7L 3s | deckic | No | deck- | dek |
8L 2s | double manual | Yes (2) | 2manu- | 2manu |
9L 1s | dashic | No | dash- | dsh |
Names for these mosses are meant to be as general as possible, starting with established names that are already equave-agnostic: trivial, (an)trial, (an)tetric, (an)pentic, and pedal/manual. Mosses are named in pairs of xL ys and yL xs, where the mos with more small steps than large steps is given the an- prefix, short for anti-; this rule doesn't apply to pentic (2L 3s) and anpentic (3L 2s), where the former is the familiar pentatonic scale.
As there is only one pair of 6-note single-period mosses, 5L 1s and 1L 5s, the pair is named hexic.
With 7-note mosses, there are three pairs of mosses, whose names are based on three languages: Greek, Latin, and Sanskrit. The pair 5L 2s and 2L 5s are given the Greek-based name of heptic, as 5L 2s is the familiar diatonic scale. The next pair, 3L 4s and 4L 3s, are given the Latin-based name of septenic. The last pair, 1L 6s and 6L 1s, are given the Sanskrit-based name of saptic.
This pattern is continued for all successive sequences of mosses for each successive note count: 1L ns and nL 1s are given a Sanskrit-based name, the next single-period pair after that are given a Greek-based name, and the next single-period pair after that are given a Latin-based name. The two 8-note pairs are named ashtaic (7L 1s and 1L 7s) and octic (5L 3s and 3L 5s) respectively. The three 9-note pairs are named navic (8L 1s and 1L 8s), ennaic (7L 2s and 2L 7s), and novemic (4L 5s and 5L 4s). Finally the two 10-note pairs are named dashic (9L 1s and 1L 9s) and dekic (7L 3s and 3L 7s).
11-note mosses require naming five pairs, so this naming scheme stops at 10-note mosses.
Since the equivalence interval can be anything, names for multi-period mosses are named as a smaller mos repeated (double, triple, quadruple, etc) some number of times. The prefix and abbreviation of the base mos is preceded by the number of duplications. For example, 2L 2s is double trivial, its prefix is 2triv-, and its abbreviation is 2trv.
Non-octave twins of diatonic
2-note mos | ||||
---|---|---|---|---|
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
1L 1s <6/5, 7/6>[1] | ||||
3-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
1L 2s <5/4, 9/7>* | Second magitonic or mystic antrial | use compound | Linear combination of undivided major third and equal multiples of whole tone, by analogy with magic temperament having a major third generator | |
2L 1s <5/4, 9/7>* | Second magitonic or mystic trial | |||
2L 1s <4/3> | ionianic[4] | ion- | ion | “Perfect” fourth is the characteristic interval of Ionian (major) mode |
4-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
1L 3s<7/5, 10/7, 11/8*, 3/2>[2]* | hard lydianic antetric | use compound | Linear combination of Lydian tetrachord and undivided tritone, analogous to 3:1 step ratio of hard mosses | |
2L 2s <7/5, 10/7, 11/8*, 4/3>[1] | locrianic | locri- | locri- | Locrian tritone is a diminished fifth |
3L 1s<7/5, 10/7, 11/8*>[3]* | hard lydianic tetric | use compound | Linear combination of Lydian tetrachord and undivided tritone, analogous to 3:1 step ratio of hard mosses | |
3L 1s <3/2> | phrygianic[4] | phryg- | phryg | “Perfect” fifth is the characteristic interval of Phrygian mode
Mason Green proposes angelic specifically for the instance of this mos within 12L 4s <5/1> antineptunian (prefix anept-, abbrev. anep) is by analogy with 1L 3s neptunian |
5-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
1L 4s <8/5, 14/9, 11/7*, 13/8*, 5/3*, 12/7*, 3/2>* | indopedal | use compound | Linear combination of Hindu pentachord and undivided augmented fifth | |
3L 2s <8/5, 14/9, 11/7*, 13/8*> | aeolianic, phrygianic[5] | aeol-, phryg- | aeol, phryg | Commonly invoked as Aeolian (natural minor) hexachord
Phrygian hexachord is analogous to major scale |
4L 1s <8/5, 14/9, 11/7*, 13/8*, 3/2>* | indomanual | use compound | Linear combination of Hindu pentachord and undivided augmented fifth | |
4L 1s <5/3, 12/7> | dorianic[5] | dor- | dor | Major sixth is the characteristic interval of Dorian mode |
6-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
3L 3s <5/3, 12/7>[1] | ||||
1L 5s <15/8, 27/14, 9/5, 7/4, 5/3*>* | Neapolitan-antimachinoid | use compound | Linear combination of Neapolitan hexachord and undivided augmented sixth | |
4L 2s <9/5, 7/4>[4] | mixolydianic, dorianic[6] | mixo-, dor- | mixo, dor | Minor seventh is the characteristic interval of Mixolydian mode
Dorian heptachord is analogous to major scale |
5L 1s <9/5, 7/4, 5/3*>* | Neapolitan-machinoid | use compound | Linear combination of Neapolitan hexachord and undivided augmented sixth | |
5L 1s <15/8, 27/14, 11/6*> | ionianic[6], lydianic[6] | ion-, lyd- | ion, lyd | Commonly invoked as Ionian (major) heptacbord |
8-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
4L 4s<7/4, 9/5, 15/8, 27/14, 21/11*, 15/7, 11/5*>*[1][4] | diminished | dimi- | dimi- | coincidentally references scale closing at a diminished ninth |
5L 3s <15/7, 21/10, 11/5*> | Neapolitan-oneirotonic | use compound | Neapolitan 6/9 scales appear just above oneirotonic proper | |
6L 2s <20/9, 16/7>[4] | napolitonic | nap- | nap- | Translates minor triad to Neapolitan sixth |
9-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
6L 3s <12/5, 7/3>[4] | mahuric | mahu- | mahu | Regularisation of Persian/Arabic Mahur scale |
7L 2s <5/2, 18/7, 13/5*> | armodecadic | ardec- | ard(e) | In reference to Terra Rubra temperament, makes affix via translation (Terra = Du aarde, Ar ‘ard) |
10-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
7L 3s <8/3> | choralic (Major) | chor- | chor | More transparent of two given names, references how it puts triads in four parts |
8L 2s <14/5, 20/7, 11/4*, 3/1*>[4] | choralic (Lydian) | |||
11-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
7L 4s <14/5, 20/7, 11/4*, 8/3*>[4] | Obikhodic (Locrian)* | obi- | obi | In reference to Russian Orthodox Obikhod chants |
8L 3s <3/1> | Obikhodic (Phrygian) | |||
12-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
7L 5s <3/1, 14/5, 20/7, 11/4, 8/3, 16/5, 28/9, 13/4*>* | Canonical macrochromatic scale | |||
8L 4s <16/5, 28/9, 22/7*, 13/4*>[4] | m-chromatic bastonic | bastonic is actually the macro-tetrawood temperament in a thirteenth (one of the four “Spanish” suits is wooden batons, or bastos in Spanish) | ||
9L 3s <10/3, 24/7, 17/5*>[4] | ivanimajiangic | majiangic is actually the macro-tcherepnin temperament in a thirteenth (mahjong tiles have 3 1-9 suits) | ||
13-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
8L 5s <10/3, 24/7, 17/5*> | ||||
9L 4s <18/5, 7/2> | shōsūshoid | shō- | shō | References Japanese mahjong rules |
10L 3s <15/4, 27/7, 11/3*> | ||||
15-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
10L 5s <21/5, 30/7>[4] | ||||
11L 4s <9/2> | ||||
16-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
11L 5s <24/5, 14/3, 19/4*> | ||||
12L 4s <5/1, 36/7 (21/4), 26/5*>[4] | quasiangelic | qang- | qang | In reference to Mason Green’s angelic generating 12L 4s <5/1> |
17-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
12L 5s <16/3> | Canonical heptadecatonic macroenharmonic scale | |||
13L 4s <28/5, 40/7, 11/2*, 6/1*> | subsextal[17] | sub6- | sub6- | In reference to its period being under the sixth harmonic |
18-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
12L 6s <28/5, 40/7, 11/2*, 16/3*>[4] | subsextal[18] | sub6- | sub6- | In reference to its period being under the sixth harmonic |
13L 5s <6/1> | daseianic | asper- | asp- | In reference to daseian notation |
19-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
12L 7s <28/5, 40/7, 11/2*, 6/1, 16/3, 32/5, 56/9, 44/7*, 13/2*>[4] | Canonical enneadecatonic macroenharmonic scale | |||
13L 6s <32/5, 56/9, 44/7*, 13/2*> | ||||
14L 5s <20/3, 48/7, 34/5*> | ||||
20-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
13L 7s <20/3, 48/7, 34/5*> | Guidotonic (diminished) | guido- | guid- | In reference to the Guidonian hand |
14L 6s <36/5, 7/1>[4] | Guidotonic (dominant) | |||
15L 5s <15/2, 54/7, 22/3*>[4] | Guidotonic (major) | |||
22-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
15L 7s <42/5, 60/7> | ||||
16L 6s <80/9, 64/7>[4] | ||||
17L 5s <48/5, 28/3, 9/1, 10/1, 72/7 (21/2)>* | Canonical macroprotofractalic macrosubchromatic scale | |||
23-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
16L 7s <48/5, 28/3, 19/2> | ||||
17L 6s <10/1, 72/7 (21/2), 51/5*> | archangelic | 17L 6s <10/1> is the canonical decimal pitch scale | ||
24-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
17L 7s <32/3> | tressettine | In reference to Tressette scoring counting the whole deck as 10⅔ points | ||
18L 6s <56/5, 80/7, 11/1*, 12/1*>[4] | hendecoidal[24] | hendec- | hendec- | From Greek "eleven", references 18L 6s <11/1>. |
25-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
19L 6s <56/5, 80/7, 11/1*, 32/3*> | hendecoidal[25] | hendec- | hendec- | From Greek "eleven", references 19L 6s <11/1>. |
18L 7s <12/1> | violic | viol- | vio | In reference to the viol family commonly having French music for it notated in clefs a third above or below the grand staff |
26-note mosses | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
18L 8s <64/5, 112/9, 88/7*, 13/1*>[4] | Petrushkatonic (minor) | petrushka- | petru- | In reference to the “27th chord” which appears in Stravinsky’s Petrushka |
19L 7s <40/3, 96/7, 68/5*> | Petrushkatonic (major) |
Secondary names for tritone-equivalent mosses
5-note mosses <tritone> | ||||
---|---|---|---|---|
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
2L 3s<7/5, 10/7, 11/8*> | soft lydianic pentic | use compound | Linear combination of Lydian tetrachord and equal multiples of sesquitone, analogous to 3:2 step ratio of soft mosses | |
3L 2s<7/5, 10/7, 11/8*> | soft lydianic anpentic |
Names for 3/2-equivalent mosses
Names are based on information that is available on their respective pages. Otherwise, possible ideas are given. Only mosses with 10 or fewer notes are prioritized for names.
4-note mosses <3/2> | ||||
---|---|---|---|---|
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
1L 3s | neptunian | nept- | nep | Name proposed by CompactStar, analogous to uranian |
5-note mosses <3/2> | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
2L 3s | saturnian | sat- | sat | Name proposed by CompactStar, analogous to uranian |
3L 2s | uranian | ura- | ura | Already-existing name |
Names for 3/1-equivalent mosses
Names are based on information that is is available on their respective pages. Otherwise, possible ideas are given. Only mosses with 10 or fewer notes are prioritized for names.
7-note mosses <3/1> | ||||
---|---|---|---|---|
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
3L 4s | In reference to electromagnetism, 3L 4s <3/1> could be named "magnetic" | |||
4L 3s | electric | elec- | ele | Name proposed by CompactStar |
9-note mosses <3/1> | ||||
Mos | Name (if given) | Prefix | Abbrev. | Reasoning or ideas |
4L 5s | lambdatonic | lam- | lam | "Lambda" already refers to tritave-equivalent 4L 5s |
Reasoning for names
The overall motivation for these names is to give names to closely related mosses and refer to individual mosses as some member of a broader family, rather than name individual mosses. Various terms have been used to similarly describe child mosses, but not under a temperament-agnostic viewpoint.
Source of terms | Grandparent (2nd predecessor) | Parent (1st predecessor) | Mos | Child (1st descendant) | Grandchild (2nd descendant) | Great-grandchild (3rd descendant) | kth descendant |
---|---|---|---|---|---|---|---|
From Diatonic, Chromatic, Enharmonic, Subchromatic | n/a | n/a | diatonic | chromatic | enharmonic | subchromatic | n/a |
From Chromatic pairs | sub-haplotonic
(not called this on page) |
haplotonic | albitonic | chromatic | mega-chromatic | n/a | |
mega-albitonic | chromatic | mega-chromatic | |||||
Terminology used for this page | n/a | n/a | mos | chromatic mos | enharmonic mos | subchromatic mos | kth descendant |
The format of adding a mos's prefix to the terms descendant, chromatic, enharmonic, and subchromatic is best applied to mosses that have no more than three periods. With mosses that descend directly from nL ns mosses especially (4L 4s and above), this is to keep names from being too complicated (eg, chromatic (number)-wood instead of (number)-woodchromatic).
Various people have suggested the use of p- and m- as prefixes to refer to specific chromatic mosses, as well as the use of f- and s- for enharmonic mosses. Generalizing the pattern to 3rd mos descendants shows the letters diverging from one another, notably where m- is no longer next to p- and f- and s- are no longer along the extremes. Rather than using these letters, as well as being temperament-agnostic, prefixes based on step ratios are used instead. However, temperament-based prefixes may be used specifically for diatonic descendants as alternatives to the prefixes based on step ratios.
Diatonic scale | Chromatic mosses | Enharmonic mosses | Subchromatic mosses | ||||||
---|---|---|---|---|---|---|---|---|---|
Steps | Temp-based prefix | Ratio-based prefix | Steps | Temp-based prefix | Ratio-based prefix | Steps | Temp-based prefix | Ratio-based prefix | |
5L 2s | 7L 5s | m- (from meantone) | s- | 7L 12s | f- (from flattone) | s- | 7L 19s | t- (from tridecimal) | us- |
19L 7s | f- (from flattone) | ps- | |||||||
12L 7s | m- (from meantone) | os- | 19L 12s | m- (from meanpop) | qs- | ||||
12L 19s | h- (from huygens) | ms- | |||||||
5L 7s | p- (from pythagorean) | h- | 12L 5s | p- (from pythagorean) | oh- | 12L 17s | p- (from pythagorean) | mh- | |
17L 12s | g- (from gentle) | qh- | |||||||
5L 12s | s- (from superpyth) | h- | 17L 5s | s- (from superpyth) | ph- | ||||
5L 17s | u- (from ultrapyth) | uh- |