24edo: Difference between revisions
The purpose of the first table after theory is to show the intervals of the edo, so the section title is now "intervals". Start the "notation" section below it, and move the "mainstream" and persian notations up |
Misc. style and formatting improvements |
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== Intervals == | == Intervals == | ||
{| class="wikitable center-all" | {| class="wikitable center-all left-3" | ||
|- | |- | ||
! Degree | ! Degree | ||
! Cents | ! Cents | ||
! Approximate ratios<ref group="note">{{sg|limit=2.3.5.11.13.17.19 | ! Approximate ratios<ref group="note">{{sg|limit=2.3.5.11.13.17.19-[[subgroup]]}}</ref> | ||
! colspan="3" | [[Ups and downs notation]] ([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and d2) | ! colspan="3" | [[Ups and downs notation]] ([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and d2) | ||
! colspan="3" | [[SKULO interval names|SKULO notation]] {{nowrap|(U or S {{=}} 1)}} | ! colspan="3" | [[SKULO interval names|SKULO notation]] {{nowrap|(U or S {{=}} 1)}} | ||
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== Notation == | == Notation == | ||
=== Mainstream quartertone accidentals === | === Mainstream quartertone accidentals === | ||
{{Sharpness-sharp2|24}} | {{Sharpness-sharp2|24}} | ||
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|} | |} | ||
'''Pros:''' | '''Pros:''' familiar, fairly easy to learn. | ||
'''Cons:''' | '''Cons:''' clutters a score easily, can get confusing when sight read at faster paces. | ||
=== Persian quartertone accidentals === | === Persian quartertone accidentals === | ||
{{Wikipedia|Koron (Music)}} | |||
{{Wikipedia|Sori (Music)}} | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| width="40px" |[[File:Koron_sign.svg|39px|center]] | | width="40px" |[[File:Koron_sign.svg|39px|center]] | ||
| '''Koron''' | | '''Koron''' = quarter-tone flat | ||
|- | |- | ||
| width="40px" |[[File:Sori_sign.svg|39px|center]] | | width="40px" |[[File:Sori_sign.svg|39px|center]] | ||
| '''Sori''' | | '''Sori''' = quarter-tone sharp | ||
|} | |} | ||
'''Pros:''' | '''Pros:''' easy to read. | ||
'''Cons:''' | '''Cons:''' hard to write on a computer, does not fit with standard notation well. | ||
=== Sagittal notation === | === Sagittal notation === | ||
This notation uses the same sagittal sequence as | This notation uses the same sagittal sequence as edos [[17edo #Sagittal notation|17]], [[31edo #Sagittal notation|31]], and [[38edo #Sagittal notation|38]], is a subset of the notations for edos [[48edo #Sagittal notation|48]] and [[72edo #Sagittal notation|72]], and is a superset of the notations for edos [[12edo #Sagittal notation|12]], [[8edo #Sagittal notation|8]], and [[6edo #Sagittal notation|6]]. | ||
==== Evo flavor ==== | ==== Evo flavor ==== | ||
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==== Pros and cons ==== | ==== Pros and cons ==== | ||
Revo [[Sagittal notation]] works extremely well for 24edo notation as well as other systems. | Revo [[Sagittal notation]] works extremely well for 24edo notation as well as other systems. It is easy on the eyes, easy to recognize the various symbols and keeps a score looking tidy and neat. A possibility for the best approach would be to not use traditional sharps and flats altogether and replace them with Sagittal signs for sharp and flat. | ||
It is easy on the eyes, easy to recognize the various symbols and keeps a score looking tidy and neat. | |||
A possibility for the best approach would be to not use traditional sharps and flats altogether and replace them with Sagittal signs for sharp and flat. | |||
[[File:sagittal_24.PNG|alt=sagittal 24.PNG|sagittal 24.PNG]] | [[File:sagittal_24.PNG|alt=sagittal 24.PNG|sagittal 24.PNG]] | ||
'''Pros:''' | '''Pros:''' easy to read, and less likely to clutter the score. | ||
'''Cons:''' | '''Cons:''' not as familiar as traditional notation, and thus not immediately accessible to many traditional musicians who are just starting out with microtonality. | ||
We also have, from the appendix to [[The Sagittal Songbook]] by [[Jacob Barton|Jacob A. Barton]], a diagram of how to notate 24edo in the Revo flavor of Sagittal: | We also have, from the appendix to [[The Sagittal Songbook]] by [[Jacob Barton|Jacob A. Barton]], a diagram of how to notate 24edo in the Revo flavor of Sagittal: | ||
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== Interval and chord naming == | == Interval and chord naming == | ||
==== Combining | ==== Combining ups and downs with color notation ==== | ||
Combining ups and downs notation with [[color notation]], qualities can be loosely associated with colors: | Combining ups and downs notation with [[color notation]], qualities can be loosely associated with colors: | ||
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|- | |- | ||
! Quality | ! Quality | ||
! [[Color name | ! [[Color name]] | ||
! Monzo | ! Monzo format | ||
! Examples | ! Examples | ||
|- | |- | ||
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| 7/6, 7/4 | | 7/6, 7/4 | ||
|- | |- | ||
| rowspan="2" |minor | | rowspan="2" | minor | ||
| fourthward wa | | fourthward wa | ||
| (a, | | {{nowrap|(a, b)}}; {{nowrap|b < −1}} | ||
| 32/27, 16/9 | | 32/27, 16/9 | ||
|- | |- | ||
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| 6/5, 9/5 | | 6/5, 9/5 | ||
|- | |- | ||
| rowspan="2" |mid | | rowspan="2" | mid | ||
| ilo | | ilo | ||
| {{nowrap|(a, b, 0, 0, 1)}} | | {{nowrap|(a, b, 0, 0, 1)}} | ||
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| 12/11, 18/11 | | 12/11, 18/11 | ||
|- | |- | ||
| rowspan="2" |major | | rowspan="2" | major | ||
| yo | | yo | ||
| {{nowrap|(a, b, 1)}} | | {{nowrap|(a, b, 1)}} | ||
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|- | |- | ||
| fifthward wa | | fifthward wa | ||
| (a, | | {{nowrap|(a, b)}}; {{nowrap|b > 1}} | ||
| 9/8, 27/16 | | 9/8, 27/16 | ||
|- | |- | ||
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|} | |} | ||
Ups and downs notation can be used to name chords. See [[24edo Chord Names]] and [[Ups and | Ups and downs notation can be used to name chords. See [[24edo Chord Names]] and [[Ups and downs notation #Chords and chord progressions]]. | ||
=== William Lynch's interval and chord names === | === William Lynch's interval and chord names === | ||