Diamond-mos notation: Difference between revisions

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== Staff ==
== Staff ==
[[File:Diamond-MOS 4L3s staff boxes.png|thumb|The diamond–MOS staff using the LsLLsLs mode of 4L 3s.]]
[[File:Diamond-mos 4L3s staff boxes.png|thumb|The diamond–MOS staff using the LsLLsLs mode of 4L 3s.]]
When using a MOS different from 5L 2s, diamond–MOS notation does not have traditional clefs. Instead, octaves on the staff are marked with diamonds on the left edge of the staff. The notes marked with diamonds are named J. The large diamond marks "middle J", which is enharmonic to middle C. The point of the diamonds is to provide a visual reference for where the octaves are. It would be difficult to sightread otherwise, especially when using non-heptatonic mosses.
When using a MOS different from 5L 2s, diamond–MOS notation does not have traditional clefs. Instead, octaves on the staff are marked with diamonds on the left edge of the staff. The notes marked with diamonds are named J. The large diamond marks "middle J", which is enharmonic to middle C. The point of the diamonds is to provide a visual reference for where the octaves are. It would be difficult to sightread otherwise, especially when using non-heptatonic mosses.


The MOS pattern is marked on the score too. On each barline (to the right of the diamonds if it's the leftmost line), little boxes mark the steps of the mos. Hollow boxes represent small mossteps (''s'') and filled boxes represent large mossteps (''L''). To avoid clutter, only the small mossteps or the large mossteps are marked. The ones which get marked are the ones the MOS has fewer of. (In the case of nL ns mosses, either is fine.) The boxes are another tool to make reading the score easier.
The MOS pattern is marked on the score too. On each barline (to the right of the diamonds if it's the leftmost line), little boxes mark the steps of the mos. Hollow boxes represent small mossteps (''s'') and filled boxes represent large mossteps (''L''). To avoid clutter, only the small mossteps or the large mossteps are marked. The ones which get marked are the ones the MOS has fewer of. (In the case of nL ns mosses, either is fine.) The boxes are another tool to make reading the score easier.
[[File:Diamond-MOS ledger lines.png|thumb|Notes with ledger lines on the diamond–MOS staff using [[3L 4s]].]]
[[File:Diamond-mos ledger lines.png|thumb|Notes with ledger lines on the diamond–MOS staff using [[3L 4s]].]]
The boxes on a barline show all of the MOS steps the staff covers, including the steps immediately above the top line and below the bottom line. Diamond clefs cover more staff lines than other barlines, so they have more boxes. When notes on the staff use ledger lines, extra boxes may be needed to aid sightreading. If a note has more ledger lines than any other note in the same bar, extra boxes should be attached to the left side of the ledger lines. (You may add boxes to other notes if you feel it's necessary.) However, if the bar has a diamond clef on the left which already has all of the necessary boxes, boxes on ledger lines aren't needed.
The boxes on a barline show all of the MOS steps the staff covers, including the steps immediately above the top line and below the bottom line. Diamond clefs cover more staff lines than other barlines, so they have more boxes. When notes on the staff use ledger lines, extra boxes may be needed to aid sightreading. If a note has more ledger lines than any other note in the same bar, extra boxes should be attached to the left side of the ledger lines. (You may add boxes to other notes if you feel it's necessary.) However, if the bar has a diamond clef on the left which already has all of the necessary boxes, boxes on ledger lines aren't needed.


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== Accidentals ==
== Accidentals ==
[[File:Diamond-MOS accidental names table.png|thumb|353x353px|A table of the accidentals in diamond–MOS, their text representations, and their spoken names.]]
[[File:Diamond-mos accidental names table.png|thumb|353x353px|A table of the accidentals in diamond–MOS, their text representations, and their spoken names.]]
There are three types of accidentals in diamond–mos. There are diatonic accidentals {{nowrap|(♯, ♭, …)}}, MOS accidentals {{nowrap|(&, @, …)}}, and ups and downs {{nowrap|(^, v, …)}}.
There are three types of accidentals in diamond–mos. There are diatonic accidentals {{nowrap|(♯, ♭, …)}}, MOS accidentals {{nowrap|(&, @, …)}}, and ups and downs {{nowrap|(^, v, …)}}.


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Transposing the score's notation, as mentioned in the Staff section, can do much of the job of key signatures. For non-diatonic scores which do not change key, we recommend to transpose the score so that the tonic is written as J. This is an especially useful option if the key signature would be very complicated otherwise. For scores which do modulate, however, key signatures are important for showing the relationship between the keys, especially since modulations often mix tones from the two keys as the change happens. Note that transposing the whole score is still an option for scores which modulate. For example, when modulating from the key of J^ to L^, transposing so that the keys are written as J natural and L natural improves readability.
Transposing the score's notation, as mentioned in the Staff section, can do much of the job of key signatures. For non-diatonic scores which do not change key, we recommend to transpose the score so that the tonic is written as J. This is an especially useful option if the key signature would be very complicated otherwise. For scores which do modulate, however, key signatures are important for showing the relationship between the keys, especially since modulations often mix tones from the two keys as the change happens. Note that transposing the whole score is still an option for scores which modulate. For example, when modulating from the key of J^ to L^, transposing so that the keys are written as J natural and L natural improves readability.


With that out of the way, this is how to make non-diatonic key signatures. To change the tonic, we use the key signature of MOS accidentals to indicate how many chroma-positive MOS generators the tonic is above middle J = middle C. (A generator of a MOS is called chroma-positive if the ''larger'' intervals in each generic interval class of the MOS result from stacking the generator ''upwards''. For example, the chroma-positive generator of [[5L 2s]] is the fifth, because the major third is 4 fifths up and the minor third is 3 fifths down.)
With that out of the way, this is how to make non-diatonic key signatures. To change the tonic, we use the key signature of MOS accidentals to indicate how many chroma-positive MOS generators the tonic is above {{nowrap|middle J {{=}} middle C}}. (A generator of a MOS is called chroma-positive if the ''larger'' intervals in each generic interval class of the MOS result from stacking the generator ''upwards''. For example, the chroma-positive generator of [[5L 2s]] is the fifth, because the major third is 4 fifths up and the minor third is 3 fifths down.)


For example, if you want to notate the key of D in the 42442424 mode of [[5L 3s]] in [[26edo]]:
For example, if you want to notate the key of D in the 42442424 mode of [[5L 3s]] in [[26edo]]: