TAMNAMS: Difference between revisions
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== Naming mos intervals == | |||
==Naming mos intervals== | |||
Mos intervals are denoted as a ''quantity'' of '''mossteps''', large or small. An interval that is k mossteps wide is referred to as a ''k-mosstep interval'' or simply ''k-mosstep'' (abbreviated as ''k''ms). A mos's intervals are a 0-mosstep or [[1/1|''unison'']], followed by a 1-mosstep, then a 2-mosstep, and so on, until an n-mosstep interval equal to the ''period'' is reached, where n is thus the number of pitches in the mos per period. If a positive integer multiple of the period equals an octave (or some close approximation thereof), that interval can be referred to plainly as an octave if one prefers, but ''mosoctave'' should not be used unless there is exactly 7 notes per octave. The prefix of mos- in the term mosstep may be replaced with the mos's prefix, specified in the section mos pattern names. | Mos intervals are denoted as a ''quantity'' of '''mossteps''', large or small. An interval that is k mossteps wide is referred to as a ''k-mosstep interval'' or simply ''k-mosstep'' (abbreviated as ''k''ms). A mos's intervals are a 0-mosstep or [[1/1|''unison'']], followed by a 1-mosstep, then a 2-mosstep, and so on, until an n-mosstep interval equal to the ''period'' is reached, where n is thus the number of pitches in the mos per period. If a positive integer multiple of the period equals an octave (or some close approximation thereof), that interval can be referred to plainly as an octave if one prefers, but ''mosoctave'' should not be used unless there is exactly 7 notes per octave. The prefix of mos- in the term mosstep may be replaced with the mos's prefix, specified in the section mos pattern names. | ||
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This section's running example will be 3L 4s. | This section's running example will be 3L 4s. | ||
=== Naming specific mos intervals === | ===Naming specific mos intervals=== | ||
The phrase ''k-mosstep'' by itself does not specify the exact size of an interval. To refer to specific intervals, the familiar modifiers of ''major'', ''minor'', ''augmented'', ''diminished'' and ''perfect'' are used. As mosses are [[Distributional evenness|distributionally even]], every interval (except for the [[1/1|unison]] and [[2/1|octave]]) will be in no more than two sizes. | The phrase ''k-mosstep'' by itself does not specify the exact size of an interval. To refer to specific intervals, the familiar modifiers of ''major'', ''minor'', ''augmented'', ''diminished'' and ''perfect'' are used. As mosses are [[Distributional evenness|distributionally even]], every interval (except for the [[1/1|unison]] and [[2/1|octave]]) will be in no more than two sizes. | ||
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*The generating intervals, or generators, are referred to as '''perfect'''. Note that a mos actually has two generators - a bright and dark generator - and both generators have two sizes each, specifically, the only time the less common size appears is at the end of the generator chain. For our running example of 3L 4s, the generators are a 2-mosstep and 5-mosstep (the following subsection explains how to find these). Referring to a mos's generating intervals usually implies its perfect form (a.k.a the common form); specifically: | *The generating intervals, or generators, are referred to as '''perfect'''. Note that a mos actually has two generators - a bright and dark generator - and both generators have two sizes each, specifically, the only time the less common size appears is at the end of the generator chain. For our running example of 3L 4s, the generators are a 2-mosstep and 5-mosstep (the following subsection explains how to find these). Referring to a mos's generating intervals usually implies its perfect form (a.k.a the common form); specifically: | ||
**The large size of the bright generator is '''perfect''', and the small size is '''diminished'''. | **The large size of the bright generator is '''perfect''', and the small size is '''diminished'''. | ||
**The large size of the dark generator is '''augmented''', and the small size is '''perfect'''. | ** The large size of the dark generator is '''augmented''', and the small size is '''perfect'''. | ||
*For all other intervals, the large size is '''major''' and the small size is '''minor'''. | *For all other intervals, the large size is '''major''' and the small size is '''minor'''. | ||
*For k-mossteps where k is greater than the number of pitches in the mos, those intervals have the same modifiers as an octave-reduced interval. Similarly, multiples of the octave are perfect, as are generators raised by some multiple of the octave. | *For k-mossteps where k is greater than the number of pitches in the mos, those intervals have the same modifiers as an octave-reduced interval. Similarly, multiples of the octave are perfect, as are generators raised by some multiple of the octave. | ||
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{| class="wikitable" | {| class="wikitable" | ||
|+Names for mos intervals for 3L 4s | |+Names for mos intervals for 3L 4s | ||
! Interval classes | !Interval classes | ||
! Specific intervals | !Specific intervals | ||
! Interval size | !Interval size | ||
!Abbreviation | !Abbreviation | ||
!Gens up | !Gens up | ||
| Line 243: | Line 244: | ||
|Minor mosstep (or small mosstep) | |Minor mosstep (or small mosstep) | ||
|s | |s | ||
| m1ms | |m1ms | ||
| -3 | | -3 | ||
|- | |- | ||
|Major mosstep (or large mosstep) | |Major mosstep (or large mosstep) | ||
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|1L+2s | |1L+2s | ||
|m3ms | |m3ms | ||
| -2 | | -2 | ||
|- | |- | ||
|Major 3-mosstep | | Major 3-mosstep | ||
|2L+s | |2L+s | ||
|M3ms | |M3ms | ||
|5 | |5 | ||
|- | |- | ||
| rowspan="2" |4-mosstep | | rowspan="2" | 4-mosstep | ||
|Minor 4-mosstep | |Minor 4-mosstep | ||
|1L+3s | |1L+3s | ||
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| -5 | | -5 | ||
|- | |- | ||
| Major 4-mosstep | |Major 4-mosstep | ||
|2L+2s | |2L+2s | ||
|M4ms | |M4ms | ||
|2 | |2 | ||
|- | |- | ||
| rowspan="2" | '''5-mosstep''' | | rowspan="2" |'''5-mosstep''' | ||
|'''Perfect 5-mosstep''' | |'''Perfect 5-mosstep''' | ||
| 2L+3s | |2L+3s | ||
|P5ms | |P5ms | ||
| -1 | | -1 | ||
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|- | |- | ||
|7-mosstep (octave) | |7-mosstep (octave) | ||
| Perfect octave | |Perfect octave | ||
|3L+4s | |3L+4s | ||
|P7ms | | P7ms | ||
|0 | |0 | ||
|} | |} | ||
=== Naming alterations by a chroma === | ===Naming alterations by a chroma=== | ||
TAMNAMS also uses the modifiers of ''augmented'' and ''diminished'' to refer to ''alterations'' of a mos interval, much like with using sharps and flats in standard notation. Mos intervals are altered by raising or lowering it by a ''moschroma'' (or simply ''chroma'', if context allows), a generalized sharp/flat that is the difference between a large step and a small step. Raising a minor mos interval by a chroma makes it major; the reverse is true. Raising a major or perfect mos interval repeatedly makes an augmented, doubly-augmented, and a triply-augmented mos interval. Likewise, lowering a minor or perfect mos interval repeatedly makes a diminished, doubly-diminished, and a triply-diminished mos interval. A unison, period or equave that is itself augmented or diminished may also be referred to a ''mosaugmented'' or ''mosdiminished'' unison, period or equave, respectively. Here, the meaning of unison and octave does not change depending on the mos pattern, but the meanings of augmented and diminished do. | TAMNAMS also uses the modifiers of ''augmented'' and ''diminished'' to refer to ''alterations'' of a mos interval, much like with using sharps and flats in standard notation. Mos intervals are altered by raising or lowering it by a ''moschroma'' (or simply ''chroma'', if context allows), a generalized sharp/flat that is the difference between a large step and a small step. Raising a minor mos interval by a chroma makes it major; the reverse is true. Raising a major or perfect mos interval repeatedly makes an augmented, doubly-augmented, and a triply-augmented mos interval. Likewise, lowering a minor or perfect mos interval repeatedly makes a diminished, doubly-diminished, and a triply-diminished mos interval. A unison, period or equave that is itself augmented or diminished may also be referred to a ''mosaugmented'' or ''mosdiminished'' unison, period or equave, respectively. Here, the meaning of unison and octave does not change depending on the mos pattern, but the meanings of augmented and diminished do. | ||
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!Number of chromas | !Number of chromas | ||
!Perfect intervals | !Perfect intervals | ||
!Major/minor intervals | ! Major/minor intervals | ||
|- | |- | ||
| +3 chromas | | +3 chromas | ||
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|Triply-augmented (AAA, A³, or A^3) | |Triply-augmented (AAA, A³, or A^3) | ||
|- | |- | ||
| +2 chromas | | +2 chromas | ||
|Doubly-augmented (AA) | |Doubly-augmented (AA) | ||
|Doubly-augmented (AA) | |Doubly-augmented (AA) | ||
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|Minor (m) | |Minor (m) | ||
|- | |- | ||
| | | -1 chroma | ||
|Diminished (d) | |Diminished (d) | ||
|Diminished (d) | |Diminished (d) | ||
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**''p-moskleisma'': |mosdiesis - (L-s)| | **''p-moskleisma'': |mosdiesis - (L-s)| | ||
=== Naming neutral and interordinal intervals === | === Naming neutral and interordinal intervals=== | ||
For a discussion of semi-moschroma-altered versions of mos intervals, see [[Neutral and interordinal k-mossteps]]. | For a discussion of semi-moschroma-altered versions of mos intervals, see [[Neutral and interordinal k-mossteps]]. | ||
== Naming mos degrees == | ===Naming mos degrees=== | ||
Individual mos degrees, or '''k-mosdegrees''' (abbreviated ''k''md) are based on the modifiers given to intervals using the process for naming mos intervals and alterations. Mosdegrees are 0-indexed and are enumerated starting at the 0-mosdegree, the tonic. For example, if you go up a major k-mosstep up from the root, then the mos degree reached this way is a major k-mosdegree. Much like mossteps, the prefix of mos- may also be replaced with the mos's prefix. If context allows, ''k-mosdegrees'' may also be shortened to ''k-degrees'' to allow generalization to non-mos scales. When the modifiers major/minor or augmented/perfect/diminished are omitted, they are assumed to be the unmodified degrees of the current mode. | Individual mos degrees, or '''k-mosdegrees''' (abbreviated ''k''md) are based on the modifiers given to intervals using the process for naming mos intervals and alterations. Mosdegrees are 0-indexed and are enumerated starting at the 0-mosdegree, the tonic. For example, if you go up a major k-mosstep up from the root, then the mos degree reached this way is a major k-mosdegree. Much like mossteps, the prefix of mos- may also be replaced with the mos's prefix. If context allows, ''k-mosdegrees'' may also be shortened to ''k-degrees'' to allow generalization to non-mos scales. When the modifiers major/minor or augmented/perfect/diminished are omitted, they are assumed to be the unmodified degrees of the current mode. | ||
=== Naming mos chords === | ===Naming mos chords=== | ||
To denote a chord or a mode on a given degree, write the notes of the chord separated by spaces or commas, or the mode, in parentheses after the degree symbol. The most explicit option is to write out the chord in cents, edosteps or mossteps (e.g. in [[13edo]] [[5L 3s]], the (0 369 646) chord can be written (0 4 7)\13, (P0ms M2ms M4ms) or 7|0 (0 2 4ms) and to write the mode. To save space, you can use whatever names or abbreviations for the chord or mode you have defined for the reader. For example, in the LsLLsLLs mode of 5L 3s, we have m2md(0 369 646), or the chord (0 369 646) on the 2-mosdegree which is a minor 2-mosstep. The LsLLsLLs mode also has m2md(7|0), meaning that we have the 7| (LLsLLsLs) mode on the 2-mosdegree which is a minor 2-mosstep in LsLLsLLs (see [[TAMNAMS#Proposal:%20Naming%20mos%20modes|below]] for the convention we have used to name the mode). | To denote a chord or a mode on a given degree, write the notes of the chord separated by spaces or commas, or the mode, in parentheses after the degree symbol. The most explicit option is to write out the chord in cents, edosteps or mossteps (e.g. in [[13edo]] [[5L 3s]], the (0 369 646) chord can be written (0 4 7)\13, (P0ms M2ms M4ms) or 7|0 (0 2 4ms) and to write the mode. To save space, you can use whatever names or abbreviations for the chord or mode you have defined for the reader. For example, in the LsLLsLLs mode of 5L 3s, we have m2md(0 369 646), or the chord (0 369 646) on the 2-mosdegree which is a minor 2-mosstep. The LsLLsLLs mode also has m2md(7|0), meaning that we have the 7| (LLsLLsLs) mode on the 2-mosdegree which is a minor 2-mosstep in LsLLsLLs (see [[TAMNAMS#Proposal:%20Naming%20mos%20modes|below]] for the convention we have used to name the mode). | ||
To analyze a chord as an inversion of another chord (i.e. when the bass is not seen as the root), the following strategies can be used: | To analyze a chord as an inversion of another chord (i.e. when the bass is not seen as the root), the following strategies can be used: | ||
# One can write the root degree first: (6s, 0s, 2s, 7s). The first degree is assumed to be the tonic unless the following method is used: | #One can write the root degree first: (6s, 0s, 2s, 7s). The first degree is assumed to be the tonic unless the following method is used: | ||
# One can write "T" to the left of the tonic: (0s, 2s, T6s, 7s). | #One can write "T" to the left of the tonic: (0s, 2s, T6s, 7s). | ||
# One can use 0 for the root, using negative numbers for notes below the root. For example, to analyze (0s, 2s, 6s, 7s) on the 7-degree of the LsLLsLLs mode as being rooted on its 6s (thus on the 5-degree of LsLLsLLs), we write 5d(0s, -6s, -4s, 1s). The "5d" here is essential for avoiding confusion with the previous notation. | #One can use 0 for the root, using negative numbers for notes below the root. For example, to analyze (0s, 2s, 6s, 7s) on the 7-degree of the LsLLsLLs mode as being rooted on its 6s (thus on the 5-degree of LsLLsLLs), we write 5d(0s, -6s, -4s, 1s). The "5d" here is essential for avoiding confusion with the previous notation. | ||
# If clarity is desired as to what the root position chord is, slash notation can be used as in conventional notation. Thus the above chord can be written 5d(0s 1s 2s 4s)/7d. | #If clarity is desired as to what the root position chord is, slash notation can be used as in conventional notation. Thus the above chord can be written 5d(0s 1s 2s 4s)/7d. | ||
== Mos pattern names == | == Mos pattern names== | ||
TAMNAMS uses the following names for selected small mosses. These names are optional; interval size names and step ratio names can be combined with conventional ''xL ys'' names. For example: ''21edo is the soft [[5L 3s]] tuning and its major mosthird is a neutral third of size 342.9 cents.'' | TAMNAMS uses the following names for selected small mosses. These names are optional; interval size names and step ratio names can be combined with conventional ''xL ys'' names. For example: ''21edo is the soft [[5L 3s]] tuning and its major mosthird is a neutral third of size 342.9 cents.'' | ||
Some of the names come from older temperament-agnostic mos names, such as names (such as ''mosh'') from [[Graham Breed]]'s [[Graham Breed's MOS naming scheme|mos names]]. These names have been coined so that mosses can be discussed more independently of RTT temperaments. Sometimes the prefix has a different source than the scale name for euphonic reasons. | Some of the names come from older temperament-agnostic mos names, such as names (such as ''mosh'') from [[Graham Breed]]'s [[Graham Breed's MOS naming scheme|mos names]]. These names have been coined so that mosses can be discussed more independently of RTT temperaments. Sometimes the prefix has a different source than the scale name for euphonic reasons. | ||
=== Names for mosses with 2-10 steps === | |||
This list is maintained by [[User:Inthar]] and [[User:Godtone]]. | This list is maintained by [[User:Inthar]] and [[User:Godtone]]. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ TAMNAMS moss names | |+TAMNAMS moss names | ||
!colspan=6| 2-note mosses | ! colspan="6" |2-note mosses | ||
|- | |- | ||
! Pattern !! Name !! Prefix<ref name=prefix>used in interval, degree and mode names, e.g. ''perfect 3-oneirostep, perfect 3-oneirodegree, oneiro-3-up''</ref> !! Abbr.<ref name="abbr">written abbreviations of prefixes, e.g. ''P3oneis, P3oneid, onei-3|4''</ref> !! Allows non-octave tunings?<ref name="general">whether the name can be used for mosses with no octaves; lightly tempered octaves are allowed;<br/>names for mosses with more than 5 notes do not admit nonoctave tunings because the names are specific to the corresponding valid tuning range</ref> !! Etymology | !Pattern!!Name!!Prefix<ref name="prefix">used in interval, degree and mode names, e.g. ''perfect 3-oneirostep, perfect 3-oneirodegree, oneiro-3-up''</ref>!!Abbr.<ref name="abbr">written abbreviations of prefixes, e.g. ''P3oneis, P3oneid, onei-3|4''</ref>!!Allows non-octave tunings?<ref name="general">whether the name can be used for mosses with no octaves; lightly tempered octaves are allowed;<br />names for mosses with more than 5 notes do not admit nonoctave tunings because the names are specific to the corresponding valid tuning range</ref>!!Etymology | ||
|- | |- | ||
| [[1L 1s]] || trivial || triv- || trv || Yes; can have any period || the simplest valid mos pattern | |[[1L 1s]]||trivial||triv-||trv||Yes; can have any period||the simplest valid mos pattern | ||
|- | |- | ||
| [[1L 1s]] || monowood || monowd- || wood || No; must have octave period || blackwood[10] & whitewood[14] generalized to n-wood for nL ns | |[[1L 1s]]||monowood||monowd-||wood||No; must have octave period||blackwood[10] & whitewood[14] generalized to n-wood for nL ns | ||
|- | |- | ||
!colspan=6| 3-note mosses (non-octave<ref name=general/>) | ! colspan="6" | 3-note mosses (non-octave<ref name="general" />) | ||
|- | |- | ||
! Pattern !! Name !! Prefix<ref name=prefix/> !! Abbr.<ref name=abbr/> !! (Non-octave periods allowed)<ref name=general/> !! Etymology | !Pattern !!Name !!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!(Non-octave periods allowed)<ref name="general" />!!Etymology | ||
|- | |- | ||
| [[1L 2s]] || antrial || atri- || atri || Yes; can have any period || broader range than trial so named w.r.t. it (anti-trial; antial; antrial) | |[[1L 2s]]||antrial||atri-||atri||Yes; can have any period||broader range than trial so named w.r.t. it (anti-trial; antial; antrial) | ||
|- | |- | ||
| [[2L 1s]] || trial || tri- || tri | |[[2L 1s]]||trial||tri-||tri || Yes; can have any period || from tri- for 3 | ||
|- | |- | ||
!colspan=6| 4-note mosses | ! colspan="6" |4-note mosses | ||
|- | |- | ||
! Pattern !! Name !! Prefix<ref name=prefix/> !! Abbr.<ref name=abbr/> !! Allows non-octave tunings?<ref name=general/> !! Etymology | !Pattern !!Name !!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!Allows non-octave tunings?<ref name="general" />!! Etymology | ||
|- | |- | ||
| [[1L 3s]] || antetric || atetra- || att || Yes; can have any period || broader range than tetric so named w.r.t. it (anti-tetric; antetric) | |[[1L 3s]]||antetric ||atetra-||att||Yes; can have any period||broader range than tetric so named w.r.t. it (anti-tetric; antetric) | ||
|- | |- | ||
| [[2L 2s]] || biwood || biwd- || bw | |[[2L 2s]]||biwood||biwd-||bw||No; two periods must be an octave||from 2-wood | ||
|- | |- | ||
| [[3L 1s]] || tetric || tetra- || tt || Yes; can have any period || from tetra- for 4 | |[[3L 1s]]||tetric||tetra-||tt ||Yes; can have any period||from tetra- for 4 | ||
|- | |- | ||
!colspan=6| 5-note mosses (non-octave<ref name=general/>) | ! colspan="6" | 5-note mosses (non-octave<ref name="general" />) | ||
|- | |- | ||
! Pattern !! Name !! Prefix<ref name=prefix/> !! Abbr.<ref name=abbr/> !! (Non-octave periods allowed)<ref name=general/> !! Etymology | ! Pattern!!Name !!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!(Non-octave periods allowed)<ref name="general" />!! Etymology | ||
|- | |- | ||
| [[1L 4s]] || pedal || ped- || ped || || one big toe and four small toes | |[[1L 4s]]||pedal||ped-||ped|| ||one big toe and four small toes | ||
|- | |- | ||
| [[2L 3s]] || pentic || pent- || pt || || common pentatonic; from penta- for 5 | |[[2L 3s]]||pentic||pent-||pt || ||common pentatonic; from penta- for 5 | ||
|- | |- | ||
| [[3L 2s]] || antipentic || apent- || apt || || opposite pattern of common pentatonic mos | |[[3L 2s]]||antipentic||apent-||apt|| ||opposite pattern of common pentatonic mos | ||
|- | |- | ||
| [[4L 1s]] || manual || manu- || manu || || one thumb and four longer fingers | |[[4L 1s]]||manual|| manu-||manu|| ||one thumb and four longer fingers | ||
|- | |- | ||
!colspan=6| 6-note mosses | ! colspan="6" |6-note mosses | ||
|- | |- | ||
! Pattern !! Name !! Prefix<ref name=prefix/> !! Abbr.<ref name=abbr/> !! See notes on tuning<ref name=general/> !! Etymology | !Pattern!!Name!!Prefix<ref name="prefix" />!! Abbr.<ref name="abbr" />!!See notes on tuning<ref name="general" />!!Etymology | ||
|- | |- | ||
| [[1L 5s]] || antimachinoid || amech- || amech || || opposite pattern of machinoid | |[[1L 5s]]||antimachinoid||amech-||amech|| || opposite pattern of machinoid | ||
|- | |- | ||
| [[2L 4s]] || malic || mal- || mal || antrial mos w/ 2 periods per octave || apples have two concave ends, lemons have two pointy ends. | |[[2L 4s]]||malic||mal-||mal||antrial mos w/ 2 periods per octave||apples have two concave ends, lemons have two pointy ends. | ||
|- | |- | ||
| [[3L 3s]] || triwood || triwd- || trw || trivial mos w/ 3 periods per octave || from 3-wood | |[[3L 3s]]||triwood||triwd-||trw|| trivial mos w/ 3 periods per octave||from 3-wood | ||
|- | |- | ||
| [[4L 2s]] || citric || citro- || cit || trial mos w/ 2 periods per octave || parent mos of lemon and lime | |[[4L 2s]]||citric||citro-||cit || trial mos w/ 2 periods per octave||parent mos of lemon and lime | ||
|- | |- | ||
| [[5L 1s]] || machinoid || mech- || mech || || from [[machine]] temperament | |[[5L 1s]]||machinoid||mech-||mech|| ||from [[machine]] temperament | ||
|- | |- | ||
!colspan=6| 7-note mosses | ! colspan="6" |7-note mosses | ||
|- | |- | ||
! Pattern !! Name !! Prefix<ref name=prefix/> !! Abbr.<ref name=abbr/> !! See notes on tuning<ref name=general/> !! Etymology | !Pattern!!Name!!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!See notes on tuning<ref name="general" />!! Etymology | ||
|- | |- | ||
| [[1L 6s]] || onyx || on- || on || || from a ''lot'' of naming puns | |[[1L 6s]]||onyx||on-||on || ||from a ''lot'' of naming puns | ||
|- | |- | ||
| [[2L 5s]] || antidiatonic || pel- || pel || || pel- is from pelog | |[[2L 5s]]||antidiatonic||pel-|| pel|| ||pel- is from pelog | ||
|- | |- | ||
| [[3L 4s]] || mosh || mosh- || mosh || || Graham Breed's name; from "mohajira-ish" | |[[3L 4s]]|| mosh || mosh-||mosh|| ||Graham Breed's name; from "mohajira-ish" | ||
|- | |- | ||
| [[4L 3s]] || smitonic || smi- || smi || || from "sharp minor third" | |[[4L 3s]]||smitonic||smi- ||smi|| ||from "sharp minor third" | ||
|- | |- | ||
| [[5L 2s]] || diatonic|| dia- || dia || || | |[[5L 2s]]|| diatonic||dia-||dia|| || | ||
|- | |- | ||
| [[6L 1s]] || arch(a)eotonic || arch- || arch || || originally a name for 13edo's 6L 1s | |[[6L 1s]]||arch(a)eotonic||arch-||arch|| || originally a name for 13edo's 6L 1s | ||
|- | |- | ||
!colspan=6| 8-note mosses | ! colspan="6" |8-note mosses | ||
|- | |- | ||
! Pattern !! Name !! Prefix<ref name=prefix/> !! Abbr.<ref name=abbr/> !! See notes on tuning<ref name=general/> !! Etymology | !Pattern!!Name!!Prefix<ref name="prefix" />!! Abbr.<ref name="abbr" />!!See notes on tuning<ref name="general" />!!Etymology | ||
|- | |- | ||
| [[1L 7s]] || antipine || apine- || apine || || opposite pattern of pine | |[[1L 7s]]||antipine||apine-||apine|| || opposite pattern of pine | ||
|- | |- | ||
| [[2L 6s]] || subaric || subar- || subar || antetric mos w/ 2 periods per octave || largest subset mos of jaric and taric | |[[2L 6s]]||subaric || subar-||subar||antetric mos w/ 2 periods per octave ||largest subset mos of jaric and taric | ||
|- | |- | ||
| [[3L 5s]] || checkertonic || check- || chk || || from the [[Kite Giedraitis's Categorizations of 41edo Scales|Kite guitar checkerboard scale]] | |[[3L 5s]]||checkertonic||check-||chk|| ||from the [[Kite Giedraitis's Categorizations of 41edo Scales|Kite guitar checkerboard scale]] | ||
|- | |- | ||
| [[4L 4s]] || tetrawood; diminished || tetrawd- || ttw || trivial mos w/ 4 periods per octave || from 4-wood | |[[4L 4s]]||tetrawood; diminished||tetrawd-|| ttw||trivial mos w/ 4 periods per octave||from 4-wood | ||
|- | |- | ||
| [[5L 3s]] || oneirotonic || oneiro- || onei || || originally a name for 13edo's 5L 3s | |[[5L 3s]]||oneirotonic||oneiro-||onei|| ||originally a name for 13edo's 5L 3s | ||
|- | |- | ||
| [[6L 2s]] || ekic || ek- || ek || tetric mos w/ 2 periods per octave || from temperaments [[echidna]] and [[hedgehog]] | |[[6L 2s]]||ekic||ek-||ek ||tetric mos w/ 2 periods per octave||from temperaments [[echidna]] and [[hedgehog]] | ||
|- | |- | ||
| [[7L 1s]] || pine || pine- || pine || || from [[porcupine]] temperament | |[[7L 1s]]||pine || pine-||pine|| || from [[porcupine]] temperament | ||
|- | |- | ||
!colspan=6| 9-note mosses | ! colspan="6" |9-note mosses | ||
|- | |- | ||
! Pattern !! Name !! Prefix<ref name=prefix/> !! Abbr.<ref name=abbr/> !! See notes on tuning<ref name=general/> !! Etymology | ! Pattern!!Name!!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!See notes on tuning<ref name="general" />!!Etymology | ||
|- | |- | ||
| [[1L 8s]] || antisubneutralic || ablu- || ablu || || opposite pattern of subneutralic | |[[1L 8s]]|| antisubneutralic||ablu- ||ablu|| ||opposite pattern of subneutralic | ||
|- | |- | ||
| [[2L 7s]] || balzano || bal- /bæl/ || bal || || from Balzano scale in 20edo which is 2L 7s | |[[2L 7s]]||balzano||bal- /bæl/||bal|| ||from Balzano scale in 20edo which is 2L 7s | ||
|- | |- | ||
| [[3L 6s]] || tcherepnin || cher- || ch || antrial mos w/ 3 periods per octave || common name | |[[3L 6s]]|| tcherepnin||cher-||ch|| antrial mos w/ 3 periods per octave||common name | ||
|- | |- | ||
| [[4L 5s]] || gramitonic || gram- || gram || ||from "grave minor third" | |[[4L 5s]]||gramitonic||gram-||gram|| ||from "grave minor third" | ||
|- | |- | ||
| [[5L 4s]] || semiquartal || cthon- || cth || || from "half fourth" and "chthonic" | |[[5L 4s]]|| semiquartal||cthon-||cth|| ||from "half fourth" and "chthonic" | ||
|- | |- | ||
| [[6L 3s]] || hyrulic || hyru- || hyru || trial mos w/ 3 periods per octave || allusion to [[triforce]] temperament | |[[6L 3s]]||hyrulic ||hyru-||hyru||trial mos w/ 3 periods per octave||allusion to [[triforce]] temperament | ||
|- | |- | ||
| [[7L 2s]] || superdiatonic; armotonic || arm- || arm || || superdiatonic is a common name; arm- and armotonic references [[Armodue]] | |[[7L 2s]]|| superdiatonic; armotonic ||arm-||arm|| || superdiatonic is a common name; arm- and armotonic references [[Armodue]] | ||
|- | |- | ||
| [[8L 1s]] || subneutralic || blu- || blu || || derived from the generator being between supraminor and neutral quality. blu- is from [[bleu]] temperament | |[[8L 1s]]||subneutralic||blu- || blu|| || derived from the generator being between supraminor and neutral quality. blu- is from [[bleu]] temperament | ||
|- | |- | ||
!colspan=6| 10-note mosses | ! colspan="6" | 10-note mosses | ||
|- | |- | ||
! Pattern !! Name !! Prefix<ref name=prefix/> !! Abbr.<ref name=abbr/> !! See notes on tuning<ref name=general/> !! Etymology | ! Pattern!!Name!!Prefix<ref name="prefix" />!!Abbr.<ref name="abbr" />!!See notes on tuning<ref name="general" />!!Etymology | ||
|- | |- | ||
| [[1L 9s]] || antisinatonic || asina- || asi || || opposite pattern of sinatonic | |[[1L 9s]]||antisinatonic ||asina- || asi|| || opposite pattern of sinatonic | ||
|- | |- | ||
| [[2L 8s]] || jaric || jara- || jar || pedal mos w/ 2 periods per octave || from temperaments [[pajara]], [[injera]] and [[diaschismic]] | |[[2L 8s]]||jaric||jara-||jar||pedal mos w/ 2 periods per octave||from temperaments [[pajara]], [[injera]] and [[diaschismic]] | ||
|- | |- | ||
| [[3L 7s]] || sephiroid || seph- || seph || || from [[sephiroth]] temperament | |[[3L 7s]]|| sephiroid||seph-||seph|| ||from [[sephiroth]] temperament | ||
|- | |- | ||
| [[4L 6s]] || lime || lime- || lime || pentic mos w/ 2 periods per octave || limes/4L 6s's steps tend to be smaller than lemons/6L 4s's steps | |[[4L 6s]]||lime||lime- || lime ||pentic mos w/ 2 periods per octave||limes/4L 6s's steps tend to be smaller than lemons/6L 4s's steps | ||
|- | |- | ||
| [[5L 5s]] || pentawood || pentawd- || pw || trivial mos w/ 5 periods per octave || from 5-wood | |[[5L 5s]]||pentawood ||pentawd-||pw||trivial mos w/ 5 periods per octave||from 5-wood | ||
|- | |- | ||
| [[6L 4s]] || lemon || lem- || lem || anpentic mos w/ 2 periods per octave || from [[lemba]] temperament | |[[6L 4s]]||lemon||lem-||lem||anpentic mos w/ 2 periods per octave ||from [[lemba]] temperament | ||
|- | |- | ||
| [[7L 3s]] || dicoid /'daɪˌkɔɪd/ || dico-|| dico || || from exotemperaments [[Dicot family#Dichotic|dichotic]] and [[dicot]] (dicoid) | |[[7L 3s]]||dicoid /'daɪˌkɔɪd/||dico-||dico|| ||from exotemperaments [[Dicot family#Dichotic|dichotic]] and [[dicot]] (dicoid) | ||
|- | |- | ||
| [[8L 2s]] || taric || tara- || tar || manual mos w/ 2 periods per octave || from Hindi ''aṭhārah'' '[[#Taric (8L 2s)|18]]' | |[[8L 2s]]|| taric||tara-|| tar||manual mos w/ 2 periods per octave||from Hindi ''aṭhārah'' '[[#Taric (8L 2s)|18]]' | ||
|- | |- | ||
| [[9L 1s]] || sinatonic || sina- || si || || from [[sinaic]] | |[[9L 1s]]||sinatonic||sina-||si|| ||from [[sinaic]] | ||
|} | |} | ||
<references/> | <references /> | ||
===Expansion to mosses with more than 10 steps=== | |||
{{see also| TAMNAMS Extension}} | |||
Various users have proposed names for mosses with more than 10 steps, commonly referred to as "TAMNAMS extensions". Chief among these are the following: | |||
*[[User:Frostburn/TAMNAMS Extension]] | |||
*[[User:Ganaram inukshuk/Additional temperament-agnostic mos names]] | |||
*[[User:Ganaram inukshuk/TAMEX]], a refinement of Frostburn's systematized mos names. | |||
==Naming mos modes== | ==Naming mos modes == | ||
TAMNAMS uses [[Modal UDP notation]] to name modes. For example, the names of modes for 5L 3s are the names of the mos followed by the UDP of that mode. | TAMNAMS uses [[Modal UDP notation]] to name modes. For example, the names of modes for 5L 3s are the names of the mos followed by the UDP of that mode. | ||
{{MOS mode degrees|Scale Signature=5L 3s|MOS Prefix=mos|Mode Names=Default}} | {{MOS mode degrees|Scale Signature=5L 3s|MOS Prefix=mos|Mode Names=Default}} | ||
| Line 522: | Line 530: | ||
For a mos pattern given a name in TAMNAMS, there is also the option of using the prefix for the pattern instead of saying "xL ys": the 5L 3s mode LsLLsLLs can be written "onei-5|2". | For a mos pattern given a name in TAMNAMS, there is also the option of using the prefix for the pattern instead of saying "xL ys": the 5L 3s mode LsLLsLLs can be written "onei-5|2". | ||
== | ==Generalization to non-mos scales== | ||
===Intervals in arbitrary scales=== | |||
=== Intervals in arbitrary scales === | |||
Zero-indexed interval names are also used for arbitrary scales, so we can still call a k-step interval a ''k-step'' and the corresponding degree the ''k-degree''. But instead of ''k-mosstep'' and ''k-mosdegree'', we use ''k-scalestep'' and ''k-scaledegree'' for arbitrary scales. | Zero-indexed interval names are also used for arbitrary scales, so we can still call a k-step interval a ''k-step'' and the corresponding degree the ''k-degree''. But instead of ''k-mosstep'' and ''k-mosdegree'', we use ''k-scalestep'' and ''k-scaledegree'' for arbitrary scales. | ||
=== Proposal: Naming 3-step-size scales' step ratios === | === Proposal: Naming 3-step-size scales' step ratios=== | ||
Analogously to 2-step-size scales including mosses, scales with three step sizes L > M > S, including [[MV3]] scales, can also be defined by their L:M:S ratios. Here TAMNAMS names the L/M ratio and then the M/S ratio as if these were mos step ratios: for example, [[21edo]] [[diasem]] (5L 2M 2s, LMLSLMLSL or its inverse) has a step ratio of L:M:S = 3:2:1, so we name it ''soft-basic diasem''. | Analogously to 2-step-size scales including mosses, scales with three step sizes L > M > S, including [[MV3]] scales, can also be defined by their L:M:S ratios. Here TAMNAMS names the L/M ratio and then the M/S ratio as if these were mos step ratios: for example, [[21edo]] [[diasem]] (5L 2M 2s, LMLSLMLSL or its inverse) has a step ratio of L:M:S = 3:2:1, so we name it ''soft-basic diasem''. | ||
For step ratios where one ratio is unspecified: | For step ratios where one ratio is unspecified: | ||
* x:y:z (where x:y is known but y:z is not) is called ''(hardness term for x/y)-any''. x:x:1 is called ''equalized-any'' or ''LM-equalized''. | * x:y:z (where x:y is known but y:z is not) is called ''(hardness term for x/y)-any''. x:x:1 is called ''equalized-any'' or ''LM-equalized''. | ||
* x:y:z (where y:z is known but x:y is not) is called ''any-(hardness term for y/z)''. x:1:1 is called ''any-equalized'' or ''MS-equalized''. | *x:y:z (where y:z is known but x:y is not) is called ''any-(hardness term for y/z)''. x:1:1 is called ''any-equalized'' or ''MS-equalized''. | ||
=== 3-step scale pattern names === | ===3-step scale pattern names=== | ||
=== Naming MV3 intervals === | ===Naming MV3 intervals=== | ||
[[MV3]] scales, such as [[diasem]], have at most 3 sizes for each interval class. For every interval class that occurs in exactly 3 sizes, we use ''large'', ''medium'' and ''small k-step''. For every interval class that occurs in 2 sizes, we use ''large k-step'' and ''small k-step''. If an interval class only has one size, then we call it ''perfect k-step''. | [[MV3]] scales, such as [[diasem]], have at most 3 sizes for each interval class. For every interval class that occurs in exactly 3 sizes, we use ''large'', ''medium'' and ''small k-step''. For every interval class that occurs in 2 sizes, we use ''large k-step'' and ''small k-step''. If an interval class only has one size, then we call it ''perfect k-step''. | ||
== Appendix == | == Appendix == | ||
=== Reasoning for step ratio names === | |||
{{Main|TAMNAMS/Appendix#Reasoning for step ratio names}} | |||
=== Reasoning for mos interval names === | |||
{{Main|TAMNAMS/Appendix#Reasoning for mos interval names}} | |||
=== Reasoning for mos pattern names === | |||
{{Main|TAMNAMS/Appendix#Reasoning for mos pattern names}} | |||