Sagittal notation: Difference between revisions
Added Promethean single-shaft, Herculean, Olympian, and Magrathean extensions to the gallery, missing Promethean multi-shaft, and formatting the tables correctly |
m Moved some added descriptions to "Flavors of Sagittal notation" |
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The '''Evo''' flavor (short for "evolutionary", previously called "mixed") uses only single-shaft Sagittal symbols, e.g. {{sagittal| /| }} {{sagittal| \! }} {{sagittal| |) }} {{sagittal| !) }}, alone or in combination with conventional sharps and flats and their doubles. Only the large variant of the double sharp {{sagittal| x }} (U+E47D) is considered to be stylistically-compatible with Sagittal symbols. Evo is much easier to learn, but it results in a greater number of symbols on the sheet, which can give it a more cluttered appearance, particularly with chords, and it may be confusing when two symbols alter the same note in opposite directions. | The '''Evo''' flavor (short for "evolutionary", previously called "mixed") uses only single-shaft Sagittal symbols, e.g. {{sagittal| /| }} {{sagittal| \! }} {{sagittal| |) }} {{sagittal| !) }}, alone or in combination with conventional sharps and flats and their doubles. Only the large variant of the double sharp {{sagittal| x }} (U+E47D) is considered to be stylistically-compatible with Sagittal symbols. Evo is much easier to learn, but it results in a greater number of symbols on the sheet, which can give it a more cluttered appearance, particularly with chords, and it may be confusing when two symbols alter the same note in opposite directions. | ||
A sub-flavor of Evo is '''Evo-SZ''' (Evo with Stein–Zimmermann). This is where any sagittals that are notating exactly half the alteration of a sharp or flat (most often {{sagittal| /|\ }} {{sagittal| \!/ }}) are replaced by the Stein–Zimmermann semisharp {{sagittal| > }} and narrow reversed flat {{sagittal| < }}, and the corresponding combinations (most often {{sagittal| /|\ }}{{sagittal| # }} and {{sagittal| \!/ }}{{sagittal| b }}) are replaced by {{sagittal| ># }} and {{sagittal| <b }}. The narrow variants of the fractional flats {{sagittal| < }} (U+E284) and {{sagittal| <b }} (U+E285) are preferred because they preserve the Sagittal principle that the visual size of a symbol should indicate the relative size of its alteration and they reduce left-right confusion. | |||
In tempered systems, Evo-SZ {{sagittal|>}} {{sagittal|<}} {{sagittal|>#}} {{sagittal|<b}} accidentals ''may instead'' be distinct from Sagittals like {{sagittal| /|\ }}{{sagittal| \!/ }}, when the apotome can be split in two equal parts as in [[Hemipyth|Hemipythagorean]], as literal half-sharps and half-flats, and there is a distinction between mapped neutral thirds like [[11/9|~11/9]] and [https://en.xen.wiki/w/Sqrt(3/2) hemififths], in particularly fine-grained EDOs like [[270edo|270]] or [[311edo|311]]. There is no need for this in coarser systems like [[24edo|24]], [[31edo|31]] or [[41edo|41]], where the mappings of the hemififth and rational neutral thirds coincide. | |||
=== Revo === | === Revo === | ||
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=== Sharps/Flats === | === Sharps/Flats === | ||
Using {{sagittal| # }} and {{sagittal| b }} (or {{sagittal|/||\}} {{sagittal|\!!/}} for Revo flavor) is still technically Sagittal notation. | Using {{sagittal| # }} and {{sagittal| b }} (or {{sagittal|/||\}} {{sagittal|\!!/}} for Revo flavor) is still ''technically'' Sagittal notation, however, it's just a reskin. | ||
=== Spartan === | === Spartan === | ||
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<nowiki>*</nowiki>There are two symbol pairs that are interchangeable in this level of precision<ref>https://sagittal.org/sagittal.pdf p.10</ref>, these being {{sagittal|(|}} {{sagittal|(!}} / {{sagittal||\}} {{sagittal|!/}} and {{sagittal|)||~}} {{sagittal|)!!~}} / {{sagittal|/||}} {{sagittal|\!!}} . They will not become distinct until the next level of precision. | <nowiki>*</nowiki>There are two symbol pairs that are interchangeable in this level of precision<ref>https://sagittal.org/sagittal.pdf p.10</ref>, these being {{sagittal|(|}} {{sagittal|(!}} / {{sagittal||\}} {{sagittal|!/}} and {{sagittal|)||~}} {{sagittal|)!!~}} / {{sagittal|/||}} {{sagittal|\!!}} . They will not become distinct until the next level of precision. | ||
=== Trojan (12-EDO relative) === | |||
This is a special extension to Spartan which adds 3 more symbol sets, which is exclusively used to notate [[compton]] EDOs (12N EDOs up to [[312edo|312]]) in which the apotome is 100 cents. However, all of these EDOs lower than 168EDO can be notated using just Spartan, in which cases, depending on your needs, maybe Athenian proves to be more useful. | |||
=== Promethean === | === Promethean === | ||
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=== Athenian extension single-shaft === | === Athenian extension single-shaft === | ||
<div style="margin-bottom: 20px;"> | <div style="margin-bottom: 20px;">{{sge| )¦( | )!( | ran | 896/891 | 11/7 kleisma }} | ||
{{sge| )¦( | )!( | ran | 896/891 | 11/7 kleisma }} | |||
{{sge| ~¦( | ~!( | san | 4131/4096 | 17 comma }} | {{sge| ~¦( | ~!( | san | 4131/4096 | 17 comma }} | ||
{{sge| ¦\ | !/ | k | 55/54 | 55 comma }} | {{sge| ¦\ | !/ | k | 55/54 | 55 comma }} | ||
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{{sge|//X |\\Y | ran | 896/891 | 11/7k | mid=48px }} | {{sge|//X |\\Y | ran | 896/891 | 11/7k | mid=48px }} | ||
</div> | </div> | ||
=== Trojan extension === | |||
{{sge|¦~|!~|z|736/729|23CT| mid=48px }} | |||
{{sge|)/¦|)\!|pr|41553/40960 |19/5CT| mid=48px }} | |||
{{sge|/¦~|\!~|paz|46/45|23/5ST| mid=48px }} | |||
{{sge|¦¦~|!!~|paz|46/45|23ST| mid=48px }} | |||
{{sge|)¦¦)|)!!)|pr|41553/40960 |19/5CT| mid=48px }} | |||
{{sge|/¦¦~|\!!~|z|736/729|23CT| mid=48px }} | |||
{{sge|¦¦¦~|!!!~|z|736/729|23CT| mid=48px }} | |||
{{sge|)/¦¦¦|)\!!!|pr|41553/40960 |19/5CT| mid=48px }} | |||
{{sge|/¦¦¦~|\!!!~|paz|46/45|23/5ST| mid=48px }} | |||
{{sge|X~|Y~|paz|46/45|23ST| mid=48px }} | |||
{{sge|)X)|)Y)|pr|41553/40960 |19/5CT| mid=48px }} | |||
{{sge|/X~|\Y~|z|736/729|23CT| mid=48px }} | |||
=== Promethean extension single-shaft === | === Promethean extension single-shaft === | ||
{{sge| )¦ | {{sge| )¦ | )! | r | 513/512 | 19s | mid=48px }} | ||
{{sge| ~¦ | {{sge| ~¦ | ~! | s | 2187/2176 | 17k | mid=48px }} | ||
{{sge| )~¦ | )~! | sr | 144/143 | 143C | mid=48px }} | {{sge| )~¦ | )~! | sr | 144/143 | 143C | mid=48px }} | ||
{{sge| ~~¦ | ~~! | sh | 99/88 | 49/11C | mid=48px }} | {{sge| ~~¦ | ~~! | sh | 99/88 | 49/11C | mid=48px }} | ||
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{{sge| ~¦) | ~!) | sat | 49/48 | 49S | mid=48px }} | {{sge| ~¦) | ~!) | sat | 49/48 | 49S | mid=48px }} | ||
{{sge| ~¦\ | ~!/ | sak | 16767/16384 | 23S | mid=48px }} | {{sge| ~¦\ | ~!/ | sak | 16767/16384 | 23S | mid=48px }} | ||
{{sge| )//¦ | {{sge| )//¦ | )\\! | phr | 416/405 | 13/5M | mid=48px }} | ||
{{sge| (¦~ | (!~ | jaz | 176/171 | 19/11M | mid=48px }} | {{sge| (¦~ | (!~ | jaz | 176/171 | 19/11M | mid=48px }} | ||
{{sge| (/¦ | (\! | jp | 4096/3969 | 49M | mid=48px }} | {{sge| (/¦ | (\! | jp | 4096/3969 | 49M | mid=48px }} | ||
{{sge| )/¦\ | {{sge| )/¦\ | )\!/ | prak | 405/392 | 49/5M | mid=48px }} | ||
{{sge| ¦\) | !/) | kt | 8680203/8388608 | 49L | mid=48px }} | {{sge| ¦\) | !/) | kt | 8680203/8388608 | 49L | mid=48px }} | ||
{{sge| ¦\\|!//|kh|373977/360448|19/11L|| mid=48px }} | {{sge| ¦\\ | !// | kh |373977/360448|19/11L|| mid=48px }} | ||
{{sge| )¦\\ | )!// | {{sge| )¦\\ | )!// | rakh | 885735/851968 | 13/5L | mid=48px }} | ||
=== Promethean extension multi-shaft === | === Promethean extension multi-shaft === | ||
Multi-shaft sagittals are only used in the [[#Revo|Revo]] flavor of Sagittal. | Multi-shaft sagittals are only used in the [[#Revo|Revo]] flavor of Sagittal. | ||
{{sge| )~¦¦ | )~!! | sak | 24/23 | 23S | mid=48px }} | |||
{{sge| ~~¦¦ | ~~!! | sat | 6561/6272 | 49S | mid=48px }} | |||
{{sge| )/¦¦ | )\!! | rat | 5103/4864 | 19/7C | mid=48px }} | |||
{{sge| (¦¦ | (!! | raz | 19/18 | 19C | mid=48px }} | |||
{{sge| ~¦¦) | ~!!) | sh | 11907/11264 | 49/11C | mid=48px }} | |||
{{sge| ~¦¦\ | ~!!/ | sr | 34749/32768 | 143C | mid=48px }} | |||
{{sge| )//¦¦ | )\\!! | s | 17/16 | 17k | mid=48px }} | |||
{{sge| (¦¦~ | (!!~ | r | 81/76 | 19s | mid=48px }} | |||
{{sge| )¦¦¦ | )!!! | r | 513/512 | 19s | mid=48px }} | |||
{{sge| ~¦¦¦ | ~!!! | s | 2187/2176 | 17k | mid=48px }} | |||
{{sge| )~¦¦¦ | )~!!! | sr | 144/143 | 143C | mid=48px }} | |||
{{sge| ~~¦¦¦ | ~~!!! | sh | 99/88 | 49/11C | mid=48px }} | |||
{{sge| )¦¦¦~ | )!!!~ | raz | 19683/19456 | 19C | mid=48px }} | |||
{{sge| )¦¦¦) | )!!!) | rat | 57/56 | 19/7C | mid=48px }} | |||
{{sge| ~¦¦¦) | ~!!!) | sat | 49/48 | 49S | mid=48px }} | |||
{{sge| ~¦¦¦\ | ~!!!/ | sak | 16767/16384 | 23S | mid=48px }} | |||
{{sge| )//¦¦¦ | )\\!!! | phr | 416/405 | 13/5M | mid=48px }} | |||
{{sge| (¦¦¦~ | (!!!~ | jaz | 176/171 | 19/11M | mid=48px }} | |||
{{sge| (/¦¦¦ | (\!!! | jp | 4096/3969 | 49M | mid=48px }} | |||
{{sge| )/¦¦¦\ | )\!!!/ | prak | 405/392 | 49/5M | mid=48px }} | |||
{{sge| ¦¦¦\) | !!!/) | kt | 8680203/8388608 | 49L | mid=48px }} | |||
{{sge| ¦¦¦\\ | !!!// | kh | 373977/360448 |19/11L|| mid=48px }} | |||
{{sge| )¦¦¦\\ | )!!!// | rakh | 885735/851968 | 13/5L | mid=48px }} | |||
{{sge| )~X | )~Y | sak | 24/23 | 23S | mid=48px }} | |||
{{sge| ~~X | ~~Y | sat | 6561/6272 | 49S | mid=48px }} | |||
{{sge| )/X | )\Y | rat | 5103/4864 | 19/7C | mid=48px }} | |||
{{sge| (X | (Y | raz | 19/18 | 19C | mid=48px }} | |||
{{sge| ~X) | ~Y) | sh | 11907/11264 | 49/11C | mid=48px }} | |||
{{sge| ~X\ | ~Y/ | sr | 34749/32768 | 143C | mid=48px }} | |||
{{sge| )//X | )\\Y | s | 17/16 | 17k | mid=48px }} | |||
{{sge| (X~ | (Y~ | r | 81/76 | 19s | mid=48px }} | |||
=== Herculean extension diacritics === | === Herculean extension diacritics === |