Quasi-diatonic MOS notation: Difference between revisions
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Quasi-diatonic MOS notation is a [[ | '''Quasi-diatonic MOS notation''' is a [[JI-agnostic]] [[notation]] system for [[MOS scale]]s developed by {{u|CompactStar}} and {{u|VectorGraphics}}, which is designed as a natural extension of diatonic notation, instead of special-casing it as [[diamond-mos notation]] does. Alhough this specific notation was developed by them, several existing notations have similar concepts of extending diatonic notation logic to other MOSes, [[Mike Battaglia's KISS notation|KISS notation]], the melodic notations for antidiatonic, and the A–J notation for [[Bohlen–Pierce]], the latter two of which were Vector's main inspiration. In [[diatonic]], QDMN is identical to standard notation. | ||
There were originally two versions, the original version by CompactStar and Vector's version, but they were nearly identical so they were simply merged into one. Credit to | CompactStar considers it useful for diatonic-like scales, such as macro/microdiatonic scales, "long" diatonic scales, and [[antidiatonic]]. | ||
There were originally two versions, the original version by CompactStar and Vector's version, but they were nearly identical so they were simply merged into one. Credit to {{u|CompactStar}} for the system for choosing the default mode, and for the specification of the MOS name at the top of the sheet music. | |||
== Note names == | == Note names == | ||
The root is A (A4), fixed to 440 Hz by default. | The root is A (A4), fixed to 440 Hz by default. | ||
By default, starting from B, the notes of the darkest mode of the MOS are labelled until A an equave up (thanks CompactStar!), where the nominals repeat. So nominals in order are always A, B, C, D, E, F, G, etc. with the darkest mode being on B. For example, in 5L 3s, the darkest mode is sLsLLsLL, so the notes ABCDEFGH represent the scale LsLsLLsL on A. This is done to make it backwards-compatible with existing diatonic notation, which starts on B for its darkest mode, Locrian. | |||
However, to enable compatibility with systems such as antidiatonic melodic notation and Bohlen–Pierce notation, the mode on A used for nominals can be explicitly specified. More info in the Staves section. | |||
I is skipped, as in Bohlen–Pierce, to avoid confusion, and V is skipped as well. | |||
Note that this is incompatible with conventional Bohlen–Pierce notation itself, as it refers to BP's note "C" as A. | Note that this is incompatible with conventional Bohlen–Pierce notation itself, as it refers to BP's note "C" as A, though this can be fixed by explicitly specifying a mode. | ||
Accidentals are ♯ and ♭, which raise and lower by a chroma (the difference between a large and small step, {{nowrap|L − s}}) respectively. Double sharp and double flat work as expected. | Accidentals are ♯ and ♭, which raise and lower by a chroma (the difference between a large and small step, {{nowrap|L − s}}) respectively. Double sharp and double flat work as expected. | ||
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== Staves == | == Staves == | ||
The number of staff lines is equal to half the number of scale steps plus 1 (rounding up). So a scale with 8 notes would have 5 lines, a scale with 9 notes would have 6 lines, and a scale of 11 notes would have 7 lines. A3 is always on a staff line. | The number of staff lines is equal to half the number of scale steps plus 1 (rounding up). So a scale with 8 notes would have 5 lines, a scale with 9 notes would have 6 lines, and a scale of 11 notes would have 7 lines. A3 is always on a staff line. | ||
The MOS name is always written at the top of the sheet music, along with the mode on A used for nominals, if that differs from the default. | |||
New clefs need to be introduced to refer to arbitrary notes, in order to bridge the gap between the A clef (introduced specifically for this notation) and the C, F, and G clefs (shared with diatonic), and allow for the convenient and analogous notation of a scale with any number of notes. | New clefs need to be introduced to refer to arbitrary notes, in order to bridge the gap between the A clef (introduced specifically for this notation) and the C, F, and G clefs (shared with diatonic), and allow for the convenient and analogous notation of a scale with any number of notes. | ||
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Key signatures are notated as you would expect given the principle of generalizing from diatonic. | Key signatures are notated as you would expect given the principle of generalizing from diatonic. | ||
== Tables and other resources | == Tables and other resources == | ||
=== Equave names === | === Equave names === | ||
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 (as in second and quart) 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) | 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 (as in second and quart) 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" | ||
|+ style="font-size: 105%;" | Equave names | |+ style="font-size: 105%;" | Equave names | ||
|- | |- | ||
! Steps (1-indexed) | ! Steps (1-indexed) | ||
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== Extension to other scales == | == Extension to other scales == | ||
[[File:Sharps with superscript.png|alt=A # sign with the text "Lm" above it, and a b sign with the text "ms" below it.|thumb|94x94px]] | [[File:Sharps with superscript.png|alt=A # sign with the text "Lm" above it, and a b sign with the text "ms" below it.|thumb|94x94px]] | ||
For ternary systems, sharps and flats can be given subscripts or superscripts indicating what diesis is being sharpened or flattened by (ᴸᵐ, ᵐˢ). In notation,, these are written in small text above or below the accidental. | For ternary systems, sharps and flats can be given subscripts or superscripts indicating what diesis is being sharpened or flattened by (ᴸᵐ, ᵐˢ). In notation,, these are written in small text above or below the accidental. When there are two sets of accidentals, the smaller chroma may be written as an arrow. | ||
== Examples == | == Examples == | ||
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! Interval | ! Interval | ||
! Steps subtended | ! Steps subtended | ||
! Note name (from A = unison) | ! Note name (from {{nowrap|A {{=}} unison}}) | ||
! Soft tuning | ! Soft tuning | ||
|- | |- | ||
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The vowels are the five-vowel system, the pronunciation of each consonant is as follows: | The vowels are the five-vowel system, the pronunciation of each consonant is as follows: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
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| r | | r | ||
| /r/ | | /r/ | ||
| wa'''t'''er<ref group=" | | wa'''t'''er<ref group="note">This is actually the "whatever rhotic", the English example is just the closest English sound to the most common rhotic, /r/. </ref> | ||
|- | |- | ||
| m | | m | ||
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| l | | l | ||
| /l/ | | /l/ | ||
| '''l'''aw<ref group=" | | '''l'''aw<ref group="note">Can be pronounced the same as r, as no note ''*ra'' exists that would cause an ambiguity with ''la''.</ref> | ||
|} | |} | ||
{| class="wikitable" | {| class="wikitable" | ||
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| t | | t | ||
| i | | i | ||
| te<ref group=" | | te<ref group="note">''te'' replaces ''*ti'' to avoid confusion with the note ''si''</ref> | ||
|- | |- | ||
| W | | W | ||
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| '''''si''''' | | '''''si''''' | ||
|} | |} | ||
<references group=" | |||
== Notes == | |||
<references group="note" /> | |||
{{Navbox notation}} | {{Navbox notation}} | ||