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24edo: Difference between revisions

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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
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24edo is the 6th [[highly composite edo]]. Its nontrivial divisors are {{EDOs| 2, 3, 4, 6, 8, and 12 }}.
24edo is the 6th [[highly composite edo]]. Its nontrivial divisors are {{EDOs| 2, 3, 4, 6, 8, and 12 }}.


== Notation ==
== Intervals ==
There are multiple ways of notating 24edo. While an arguably common form can be seen on [[Wikipedia: Quarter tone #Interval size in equal temperament|Wikipedia's page on quartertones]], there are other forms, and it is these other forms that will be considered here.
 
=== Ups and downs notation ===
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
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In many other edos, 5/4 is downmajor and 11/9 is mid. To agree with this, the term mid is generally preferred over down or downmajor.
In many other edos, 5/4 is downmajor and 11/9 is mid. To agree with this, the term mid is generally preferred over down or downmajor.
== Notation ==
=== Mainstream quartertone accidentals ===
[[Category:IMPORTDEBUG - Change External Images]]
{{Sharpness-sharp2|24}}
{| class="wikitable center-1"
|-
| style="width: 40px;" | [[File:HeQu1.svg|21px|center]]
| A "semisharp" or "half-sharp" accidental comprising one half of a regular musical sharp symbol.
|-
| style="width: 40px;" | [[File:HeQu3.svg|32px|center]]
| A "sharp and a half" or "sesquisharp" accidental, comprising the above half-sharp symbol connected to the right side of a normal sharp.
|-
| style="width: 40px;" | [[File:HeQd1.svg|22px|center]]
| A "semiflat" or "half-flat" accidental, comprising a flat symbol mirrored horizontally so that the lobe is facing left.
|-
| style="width: 40px;" | [[File:HeQd3.svg|36px|center]]
| A "flat and a half" or "sesquiflat" accidental, comprising a half-flat symbol and a regular flat symbol placed back to back.
|}
'''Pros:''' Familiar, fairly easy to learn
[[Category:IMPORTDEBUG - Change External Images]]
'''Cons:''' Clutters a score easily, can get confusing when sight read at faster paces
=== Persian quartertone accidentals ===
{| class="wikitable"
|-
| width="40px" |[[File:Koron_sign.svg|39px|center]]
| '''Koron''' ([[Wikipedia: Koron (music)|Wikipedia]]) = Quarter-tone flat
|-
| width="40px" |[[File:Sori_sign.svg|39px|center]]
| '''Sori''' ([[Wikipedia: Sori (music)|Wikipedia]]) = Quarter-tone sharp
|}
'''Pros:''' Easy to read
'''Cons:''' Hard to write on a computer, doesn't fit with standard notation well


=== Sagittal notation ===
=== Sagittal notation ===
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[[File:24edo Sagittal.png|800px]]
[[File:24edo Sagittal.png|800px]]
=== Other quartertone notations ===
Besides the above, there are various systems for notating quarter tones. Here are some of them, along with their pros and cons.
==== Mainstream quartertone accidentals ====
[[Category:IMPORTDEBUG - Change External Images]]
{{Sharpness-sharp2|24}}
{| class="wikitable center-1"
|-
| style="width: 40px;" | [[File:HeQu1.svg|21px|center]]
| A "semisharp" or "half-sharp" accidental comprising one half of a regular musical sharp symbol.
|-
| style="width: 40px;" | [[File:HeQu3.svg|32px|center]]
| A "sharp and a half" or "sesquisharp" accidental, comprising the above half-sharp symbol connected to the right side of a normal sharp.
|-
| style="width: 40px;" | [[File:HeQd1.svg|22px|center]]
| A "semiflat" or "half-flat" accidental, comprising a flat symbol mirrored horizontally so that the lobe is facing left.
|-
| style="width: 40px;" | [[File:HeQd3.svg|36px|center]]
| A "flat and a half" or "sesquiflat" accidental, comprising a half-flat symbol and a regular flat symbol placed back to back.
|}
'''Pros:''' Familiar, fairly easy to learn
[[Category:IMPORTDEBUG - Change External Images]]
'''Cons:''' Clutters a score easily, can get confusing when sight read at faster paces
==== Persian quartertone accidentals ====
{| class="wikitable"
|-
| width="40px" |[[File:Koron_sign.svg|39px|center]]
| '''Koron''' ([[Wikipedia: Koron (music)|Wikipedia]]) = Quarter-tone flat
|-
| width="40px" |[[File:Sori_sign.svg|39px|center]]
| '''Sori''' ([[Wikipedia: Sori (music)|Wikipedia]]) = Quarter-tone sharp
|}
'''Pros:''' Easy to read
'''Cons:''' Hard to write on a computer, doesn't fit with standard notation well


== Interval and chord naming ==
== Interval and chord naming ==
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