Nominal-accidental chain: Difference between revisions
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[[Enharmonic equivalence]] may arise from this approach, which is when the same pitch can have multiple names. People are often taught that C♯ is enharmonically equivalent to D♭ but this is only true in [[12edo]] and its multiples (24edo, 36edo, etc). The same term is sometimes used to refer to equivalence in general, but each edo technically has its own equivalence. [[7edo]] has the type of equivalence that could be called ''chromatic equivalence'', for example, since in 7edo the fact that stacking seven fifths takes one back to the root note means that sharps and flats are redundant. | [[Enharmonic equivalence]] may arise from this approach, which is when the same pitch can have multiple names. People are often taught that C♯ is enharmonically equivalent to D♭ but this is only true in [[12edo]] and its multiples (24edo, 36edo, etc). The same term is sometimes used to refer to equivalence in general, but each edo technically has its own equivalence. [[7edo]] has the type of equivalence that could be called ''chromatic equivalence'', for example, since in 7edo the fact that stacking seven fifths takes one back to the root note means that sharps and flats are redundant. | ||
== Inflections and alterations == | |||
Microtonal accidentals are sometimes referred to as '''inflections'''. Using this term allows the term ''accidental'' to refer exclusively to sharps, flats and naturals. Accidentals and inflections may then be referred to collectively as '''alterations'''. This terminology facilitates discussions of microtonal scores, especially in rank-1 and rank-2 systems. | |||
Examples: | |||
{| class="wikitable center-all" | |||
|+ style="font-size: 105%" | Edo alterations | |||
|- | |||
! colspan="2" rowspan="2" | Accidentals | |||
! colspan="2" | Inflections | |||
|- | |||
! colspan="2" | Arrows | |||
|- | |||
| Sharp | |||
| Flat | |||
| Up | |||
| Down | |||
|- | |||
| ♯ | |||
| ♭ | |||
| ^ | |||
| v | |||
|} | |||
{| class="wikitable center-all" | |||
|+ style="font-size: 105%" | [[Pergen]] alterations | |||
|- | |||
! colspan="2" rowspan="2" | Accidentals | |||
! colspan="4" | Inflections | |||
|- | |||
! colspan="2" | Arrows | |||
! colspan="2" | Slashes | |||
|- | |||
| Sharp | |||
| Flat | |||
| Up | |||
| Down | |||
| Lift | |||
| Drop | |||
|- | |||
| ♯ | |||
| ♭ | |||
| ^ | |||
| v | |||
| / | |||
| \ | |||
|} | |||
{| class="wikitable center-all" | |||
|+ style="font-size: 105%" | Just intonation alterations | |||
|- | |||
! rowspan="2" | | |||
! colspan="2" rowspan="2" | Accidentals | |||
! colspan="6" | Inflections | |||
|- | |||
! colspan="2" | Prime 5 | |||
! colspan="2" | Prime 7 | |||
! colspan="2" | Prime 11 | |||
|- | |||
! rowspan="2" | Color notation | |||
| Sharp | |||
| Flat | |||
| Yo | |||
| Gu | |||
| Zo | |||
| Ru | |||
| iLo | |||
| Lu | |||
|- | |||
| ♯ | |||
| ♭ | |||
| y | |||
| g | |||
| z | |||
| r | |||
| 1o | |||
| 1u | |||
|- | |||
! FJS notation | |||
| ♯ | |||
| ♭ | |||
| 5 | |||
| /5 | |||
| 7 | |||
| /7 | |||
| 11 | |||
| /11 | |||
|- | |||
! Prime-factor Sagittal | |||
| ♯ | |||
| ♭ | |||
| \! | |||
| <nowiki>/|</nowiki> | |||
| !) | |||
| <nowiki>|)</nowiki> | |||
| <nowiki>/|\</nowiki> | |||
| \!/ | |||
|} | |||
Each JI inflection inflects by a certain [[formal comma|comma]]. | |||
These usages of the terms accidental, inflection and alteration were coined by [[Kite Giedraitis]]. | |||
== Specific notation schemes == | == Specific notation schemes == | ||