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Quasi-diatonic MOS notation: Difference between revisions

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== Interval names ==
== Interval names ==
Intervals are named analogously to diatonic: interval size classes are named with ordinal numbers starting from the scale step as the 2nd (i.e. they are 1-indexed). So a 2-step would be a third, a 3-step would be a fourth, etc. The exceptions are the 0-step (which is called the unison), and the equave (which takes the -ave suffix following a Latin number root indicating the scale step, to indicate that it is the equave - note that in a 2-note MOS, it is called the ''triave'', which is distinct from the ''tritave'' (a ratio of 3/1). A table of equave names will be available at the bottom of the page). (Note that these are not true Latin ordinals, unlike the corresponding Italian notation of ''ottava'' (see staff notation).)
Intervals are named analogously to diatonic: interval size classes are named with ordinal numbers starting from the scale step as the 2nd (i.e. they are 1-indexed). So a 2-step would be a third, a 3-step would be a fourth, etc. The exceptions are the 0-step (which is called the unison), and the equave (which is named after an Anglicized version of the Latin ordinal for the interval). A table of equave names will be available at the bottom of the page). (Note that these are not true Latin ordinals, unlike the corresponding Italian notation of ''ottava'' (see staff notation).)


Generators are perfect, other intervals are major and minor (where major refers to the larger of the two interval sizes, and minor refers to the smaller of the two). Augmented and diminished, for interval names, function as # and b do for note names respectively. So in 5L3s (and in fact, in any MOS with >3 notes and no consecutive small steps that is not an edo, due to the way the position of A in the scale is defined), A-C is a minor third, A-C# is a major third, and A-Cx is an augmented third. Augmented and diminished are also used to name the 1 imperfect generator interval of each class, depending on its size relative to the perfect generator. As such, in 5L3s, there are 7 perfect sixths and one augmented sixth.
Generators are perfect, other intervals are major and minor (where major refers to the larger of the two interval sizes, and minor refers to the smaller of the two). Augmented and diminished, for interval names, function as # and b do for note names respectively. So in 5L3s (and in fact, in any MOS with >3 notes and no consecutive small steps that is not an edo, due to the way the position of A in the scale is defined), A-C is a minor third, A-C# is a major third, and A-Cx is an augmented third. Augmented and diminished are also used to name the 1 imperfect generator interval of each class, depending on its size relative to the perfect generator. As such, in 5L3s, there are 7 perfect sixths and one augmented sixth.
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=== Equave names ===
=== Equave names ===
A table of what the equave is called based on how many steps it contains, using number prefixes analogous to the Latin numbers used to name -illions. This is distinct from the Greek numbers used to name harmonics, as the term "octave" comes from Latin. Note that unlike the equava markings which use Italian ordinals like ottava, these do not use true Latin ordinals, but instead just the -ave suffix, for recognizability as an interval name:
A table of what the equave is called based on how many steps it contains. This is distinct from the Greek numbers used to name harmonics, as the term "octave" comes from Latin. The -us ending is dropped from Latin numerals except where a final silent -e is kept to indicate a long vowel (as in octave), except where said -e would lead to confusion (as with non, where it would be confused with "none", also, the English pronunciation of the Latin non- root does not include a long vowel)
{| class="wikitable"
{| class="wikitable"
|+Equave names:
|+Equave names:
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|-
|-
|[[1edo|2]]
|[[1edo|2]]
|Biave
|Second
|2da "seconda"
|2da "seconda"
|-
|-
|3
|3
|Triave
|Terce
|3za "terza"
|3za "terza"
|-
|-
|4
|4
|Quadrave
|Quart
|4ta "quarta"
|4ta "quarta"
|-
|-
|5
|5
|Quintave
|Quint
|5ta "quinta"
|5ta "quinta"
|-
|-
|6
|6
|Sextave
|Sext
|6ta "sesta"
|6ta "sesta"
|-
|-
|7
|7
|Septave
|Septim
|7ma "settima"
|7ma "settima"
|-
|-
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|-
|-
|9
|9
|Nonave
|Non
|9na "nona"
|9na "nona"
|-
|-
|10
|10
|Decave
|Decim
|10ma "decima"
|10ma "decima"
|-
|-
|11
|11
|Undecave
|Undecim
|11ma "undicesima"
|11ma "undicesima"
|-
|-
|12
|12
|Duodecave
|Duodecim
|12ma "dodicesima"
|12ma "dodicesima"
|-
|-
|13
|13
|Tredecave
|Tredecim
|13ma "tredicesima"
|13ma "tredicesima"
|-
|-
|14
|14
|Quattuordecave
|Quattuordecim
|14ma "quattordicesima"
|14ma "quattordicesima"
|-
|-
|15
|15
|Quindecave
|Quindecim
|15ma "quindicesima"
|15ma "quindicesima"
|-
|-
|16
|16
|Sexdecave
|Sexdecim
|16ma "sedicesima"
|16ma "sedicesima"
|-
|-
|17
|17
|Septendecave
|Septendecim
|17ma "diciassettesima"
|17ma "diciassettesima"
|-
|-
|18
|18
|Octodecave
|Duodevicesim
|18ma "diciottesima"
|18ma "diciottesima"
|-
|-
|19
|19
|Novemdecave
|Undevicesim
|19ma "diciannovesima"
|19ma "diciannovesima"
|-
|-
|20
|20
|Vigintave
|Vicesim
|20ma "ventesima"
|20ma "ventesima"
|-
|-
|21
|21
|Unvigintave
|Vicesimoprime
|21ma "ventunesima"
|21ma "ventunesima"
|-
|-
|22
|22
|Duovigintave
|Vicesimosecond
|22ma "ventiduesima"
|22ma "ventiduesima"
|-
|-
|23
|23
|Tresvigintave
|Vicesimoterce
|23ma "ventitreesima"
|23ma "ventitreesima"
|-
|-
|24
|24
|Quattuorvigintave
|Vicesimoquart
|24ma "ventiquattresima"
|24ma "ventiquattresima"
|-
|-
|25
|25
|Quinvigintave
|Vicesimoquint
|25ma "venticinquesima"
|25ma "venticinquesima"
|}
|}
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|1000c
|1000c
|-
|-
|perfect sextave
|perfect sexta
|2L+3s
|2L+3s
|A
|A
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|1085.71c
|1085.71c
|-
|-
|nonave
|perfect non
|5L+3s
|5L+3s
|A
|A
Retrieved from "https://en.xen.wiki/w/Quasi-diatonic_MOS_notation"