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The simplest and most straightforward way to refer to [[MOS scale]]s is by using the format #L#s, directly specifying the number of large steps (#L) and the number of small steps (#s). However, other naming schemes have also been proposed. See also the [[Catalog of MOS]] for a listing of MOS in the more usual Ls scheme. See also the [[pergen]]s page.
#REDIRECT [[Scale naming#MOS scales]]
 
For referring to intervals in an unspecified MOS, generic names such as "small fifth" or "large second" are typically used; these can be used to unambiguously refer to an interval in any MOS. Some naming systems give more specific names to MOS intervals.
 
== TAMNAMS ==
'''TAMNAMS''' (read "tame names"; from '''''T'''emperament-'''A'''gnostic '''M'''OS '''NAM'''ing '''S'''ystem''), devised by [[Inthar lus Lăneaf|Inthar]] and others on the XA Discord, is an attempt at a standardized set of temperament-agnostic names for octave-equivalent MOS scales of sizes between 6 and 10. Some of these come from temperament-agnostic MOS names coined by [[Igliashon Jones]] and others, as well as some of the names (such as "mish" and "mosh") from [[Graham Breed]]'s names below. Some are directly taken from an arbitrary temperament that generates the scale. 1L ns names are intentionally unspecific because the generator can be anywhere from the octave to to 1\(n+1)) and can better be viewed as subsets of larger MOSes, for example [[1L 6s]] as a subset of [[7L 1s]].
 
TAMNAMS uses the following modifiers to denote different interval sizes within a MOS interval class:
* Generator: ''perfect'' (e.g. perfect mos4th, Pmos4)
* Smaller interval class (when not the generator's): ''small'' (e.g. small mos3rd, smos3)
* Larger interval class (when not the generator's): ''large'' (e.g. large mos3rd, Lmos3)
* "small" minus chroma or "perfect" minus chroma: ''diminished'' (e.g. diminished mos3rd, dmos3)
* "large" plus chroma or "perfect" plus chroma: ''augmented'' (e.g. augmented mos3rd, Amos3)
* similarly, doubly augmented, doubly diminished, etc.
 
To denote interval classes within the MOS, TAMNAMS uses the generic prefix ''mos-'', or the specific prefixes and abbreviations listed below. Usage example: ''In 21edo [[oneirotonic]], the large mosthird is a neutral third.''
 
{| class="wikitable center-all"
|+ TAMNAMS MOS names
|-
!colspan=5| 6-note MOSes
|-
! Pattern !! Name !! Interval prefix<ref name="prefix">used in interval names, e.g. "perfect oneirofourth"</ref> !! Abbreviation<ref name="abbr">used in abbreviations of interval names, e.g. "Po4"</ref> !! Notes
|-
| [[1L 5s]] || antimachinoid ||  || ||
|-
| [[2L 4s]] || rice || rice- || ri || range splits into echinoid[6] and antiechinoid[6] at 1\8 = 150 cents
|-
| [[3L 3s]] || trisymmetric || || || range splits into Tcherepnin[6] and hyrulic[6] at 1\9 = 133.3 cents
|-
| [[4L 2s]] || bicycle || bike- || bike || range splits into antilemboid[6] and lemboid[6] at 1\5 = 240 cents
|-
| [[5L 1s]] || machinoid || mech- || me ||
|-
!colspan=5| 7-note MOSes
|-
! Pattern !! Name !! Interval prefix<ref name="prefix"/> !! Abbreviation<ref name="abbr"/> !! Notes
|-
| [[1L 6s]] || antiarcheotonic ||  ||  ||
|-
| [[2L 5s]] || antidiatonic; pelogoid || pel- || pel || range splits into mavila[7] and joanatonic[7] at 5\9 = 666.7 cents
|-
| [[3L 4s]] || mosh || mosh- || mosh || range splits into dicoid[7] and sephiroid[7] at 3\10 = 360 cents
|-
| [[4L 3s]] || smitonic || smi- || smi ||
|-
| [[5L 2s]] || diatonic || ''none'' || ''none'' ||
|-
| [[6L 1s]] || archeotonic || archeo- || ar
|-
!colspan=5| 8-note MOSes
|-
! Pattern !! Name !! Interval prefix<ref name="prefix"/> !! Abbreviation<ref name="abbr"/> !! Notes
|-
| [[1L 7s]] || antiporcupoid ||  ||  ||
|-
| [[2L 6s]] || antiechinoid ||  ||  || range splits into pajaroid[8] and octodecoid[8] at 1\10 = 120 cents
|-
| [[3L 5s]] || sensoid || sen- || sen ||
|-
| [[4L 4s]] || tetrasymmetric, "diminished" ||  ||  ||
|-
| [[5L 3s]] || oneirotonic || oneiro- || o ||
|-
| [[6L 2s]] || echinoid || echi- || ech ||
|-
| [[7L 1s]] || porcupoid || porcu- || por ||
|-
!colspan=5| 9-note MOSes
|-
! Pattern !! Name !! Interval prefix<ref name="prefix"/> !! Abbreviation<ref name="abbr"/> !! Notes
|-
| [[1L 8s]] || antibleuish ||  ||  ||
|-
| [[2L 7s]] || joanatonic || jo- || jo ||
|-
| [[3L 6s]] || tcherepnin || tcher- || tch ||
|-
| [[4L 5s]] || orwelloid || or- || or ||
|-
| [[5L 4s]] || semiquartal || sequar- || seq ||
|-
| [[6L 3s]] || hyrulic || hyru- || hy ||
|-
| [[7L 2s]] || maviloid || mavi- || ma ||
|-
| [[8L 1s]] || bleuish || bleu- || bl ||
|-
!colspan=5| 10-note MOSes
|-
! Pattern !! Name !! Interval prefix<ref name="prefix"/> !! Abbreviation<ref name="abbr"/> !! Notes
|-
| [[1L 9s]] || antisinatonic ||  ||  ||
|-
| [[2L 8s]] || pajaroid || || ||
|-
| [[3L 7s]] || sephiroid || sephi- || seph ||
|-
| [[4L 6s]] || antilemboid ||  ||  ||
|-
| [[5L 5s]] || pentasymmetric || || ||
|-
| [[6L 4s]] || lemboid || lem- || lem ||
|-
| [[7L 3s]] || dicoid || dico- || dico ||
|-
| [[8L 2s]] || biggie || biggie- || bg ||
|-
| [[9L 1s]] || sinatonic || sina- || si ||
|}
<references/>
 
For TAMNAMS names for MOS step ratios, see [[MOS step ratio spectrum]].
 
== Graham Breed's naming scheme ==
Graham Breed has proposed the following scheme.
 
=== Names for sub-MOS ===
 
1L 1s Trivial MOS
 
1L 2s Happy triad
 
2L 1s Grumpy triad
 
1L 3s Happy tetrad
 
[[2L_2s|2L 2s]] bi-equal tetrad
 
3L 1s Grumpy <span style="line-height: 1.5;">tetrad</span>
 
===Names for MOS with number of elements from 5 to 10, as proposed by Graham Breed===
The logic behind new names is as follows:
 
Happy and Grumpy are remnants of the [[DwarfNamingScheme|dwarf scheme]]. A good proportion of the shapes fit this pattern, so it's worth having a word for it.
 
Biggie is a contraction of "bi-grumpy". Rice is named after Rice Kagona.
 
Bicycle is a contraction of "bi-classical". This family is like the usual fifth-generated one, but half the size.
 
Mosh is a contraction of "mohajiraish". Mish is related to mosh.
 
Father is a temperament name. I think the etymology is a pun on "fourths/thirds" and as such names a shape.
 
Bug is another temperament name, from the draft of the first part of Paul's forthcoming magnum opus. If it's too specific to apply to this family, I suggest "bogey" instead.
 
"Bi-equal" means the scale is made from two EDOs. There may be a better name for these. They become more important whan you look at complicated temperaments.
 
I'm using "fair" and "unfair" to distinguish the large from the small.
 
All the names uniquely specify a shape, and if the number of notes doesn't need to be part of the name it isn't. That doesn't mean you'd leave them this terse in practice.
 
[[1L_4s|1L 4s]] Happy pentatonic
 
[[2L_3s|2L 3s]] classic pentatonic
 
[[3L_2s|3L 2s]] father (sometimes also called: anti-pentatonic)
 
[[4L_1s|4L 1s]] bug
 
[[1L_5s|1L 5s]] Happy hexatonic
 
[[2L_4s|2L 4s]] Rice hexatonic
 
[[3L_3s|3L 3s]] augmented
 
[[4L_2s|4L 2s]] bicycle
 
[[5L_1s|5L 1s]] Grumpy hexatonic
 
[[1L_6s|1L 6s]] Happy heptatonic
 
[[2L_5s|2L 5s]] mavila (other common name: anti-diatonic)
 
[[3L_4s|3L 4s]] mosh
 
[[4L_3s|4L 3s]] mish
 
[[5L_2s|5L 2s]] diatonic
 
[[6L_1s|6L 1s]] Grumpy heptatonic
 
[[1L_7s|1L 7s]] Happy octatonic
 
[[2L_6s|2L 6s]] Rice octatonic
 
[[3L_5s|3L 5s]] fair father
 
[[4L_4s|4L 4s]] diminished
 
[[5L_3s|5L 3s]] unfair father
 
[[6L_2s|6L 2s]] Biggie octatonic
 
[[7L_1s|7L 1s]] Grumpy octatonic
 
[[1L_8s|1L 8s]] Happy nonatonic
 
[[2L_7s|2L 7s]] fair mavila
 
[[3L_6s|3L 6s]] fair augmented
 
[[4L_5s|4L 5s]] fair bug
 
[[5L_4s|5L 4s]] unfair bug
 
[[6L_3s|6L 3s]] unfair augmented
 
[[7L_2s|7L 2s]] unfair mavila
 
[[8L_1s|8L 1s]] Grumpy nonatonic
 
[[1L_9s|1L 9s]] Happy decatonic
 
[[2L_8s|2L 8s]] Rice decatonic
 
[[3L_7s|3L 7s]] fair mosh
 
[[4L_6s|4L 6s]] fair bicycle
 
[[5L_5s|5L 5s]] bi-equal decatonic
 
[[6L_4s|6L 4s]] unfair bicycle
 
[[7L_3s|7L 3s]] unfair mosh
 
[[8L_2s|8L 2s]] Biggie decatonic
 
[[9L_1s|9L 1s]] Grumpy decatonic
 
===Some names of higher-numbered ones===
 
[[8L_3s|8L 3s]] Sensi[11]
 
[[6L_5s|6L 5s]] Machine[11]
 
[[4L_7s|4L 7s]] Keemun[11]
 
[[10L_2s|10L 2s]] Pajara[12]
 
[[9L_3s|9L 3s]] August[12]
 
[[7L_5s|7L 5s]] Meantone[12]
 
[[6L_6s|6L 6s]] Hexe[12]
 
[[5L_7s|5L 7s]] Superpyth[12]
 
[[4L_8s|4L 8s]] Diminished[12]
 
[[3L_9s|3L 9s]] Augene[12]
 
[[2L_10s|2L 10s]] Injera[12]
 
[[12L_2s|12L 2s]] Injera[14]
 
[[5L_9s|5L 9s]] Godzilla[14]
 
[[4L_10s|4L 10s]] Doublewide[14]
 
[[11L_4s|11L 4s]] Superkleismic[15]
 
[[10L_5s|10L 5s]] Blacksmith[15]
 
[[8L_7s|8L 7s]] Opossum[15]
 
[[7L_8s|7L 8s]] Porcupine[15]
 
[[4L_11s|4L 11s]] Myna[15]
 
[[1L_14s|1L 14s]] Valentine[15]
 
[[6L_10s|6L 10s]] Wizard[16]
 
[[5L_11s|5L 11s]] Mothra[16]
 
[[14L_3s|14L 3s]] Squares[17]
 
[[12L_5s|12L 5s]] Garibaldi[17]
 
[[10L_7s|10L 7s]] Beatles[17]
 
[[7L_10s|7L 10s]] Mohajira[17]
 
[[16L_3s|16L 3s]] Muggles[19]
 
[[12L_7s|12L 7s]] Meantone[19]
 
[[10L_9s|10L 9s]] Negri[19]
 
[[8L_11s|8L 11s]] Sensi[19]
 
[[7L_12s|7L 12s]] Flattone[19]
 
[[6L_13s|6L 13s]] Hemiwuerschmidt[19]
 
[[4L_15s|4L 15s]] Myna[19]
 
[[3L_16s|3L 16s]] Magic[19]
 
[[2L_17s|2L 17s]] Tritonic[19]
 
[[3L_17s|3L 17s]] Roman[20]
 
[[10L_11s|10L 11s]] Miracle[21]
 
[[5L_16s|5L 16s]] Rodan[21]
 
[[2L_19s|2L 19s]] Tritonic[21]
 
[[19L_3s|19L 3s]] Magic[22]
 
[[12L_10s|12L 10s]] Diaschismic[22]
 
[[9L_13s|9L 13s]] Orwell[22]
 
[[7L_15s|7L 15s]] Coendou[22]
 
[[6L_16s|6L 16s]] Wizard[22]
 
[[2L_20s|2L 20s]] Shrutar[22]
 
[[15L_8s|15L 8s]] Hemikleismic[23]
 
[[13L_10s|13L 10s]] Unidec[23]
 
[[3L_20s|3L 20s]] Roman[23]
 
[[7L_17s|7L 17s]] Mohajira[24]
 
[[6L_19s|6L 19s]] Luna[25]
 
[[18L_9s|18L 9s]] Ennealimmal[27]
 
[[14L_13s|14L 13s]] Octacot[27]
 
[[17L_12s|17L 12s]] Leapday[29], Grackle[29]
 
[[12L_17s|12L 17s]] Garibaldi[29]

Latest revision as of 22:27, 19 August 2023

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