Sagittal notation: Difference between revisions
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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. | 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]] | 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, with a distinction between mapped neutral thirds like [[11/9|~11/9]] or ~[[16/13]] and [[Sqrt(3/2)|hemififths]] which might be mapped to another interval like [[49/40]] in particularly fine-grained EDOs like [[270edo|270]] or [[311edo|311]]. There is no need for this in coarser EDOs like [[24edo|24]], [[31edo|31]] or [[41edo|41]], where in this case the [[243/242|rastma]] is tempered out, and thus the mappings of the irrational hemififth and [[11/9]] coincide. | ||
=== Revo === | === Revo === | ||
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|+Table of apotome complements<ref>https://sagittal.org/sagittal.pdf p. 24 Figure 13</ref> | |+Table of apotome complements<ref>https://sagittal.org/sagittal.pdf p. 24 Figure 13</ref> | ||
|Symbol | |Symbol | ||
|{{sagittal|h}} | |<big>{{sagittal|h}}</big> | ||
|{{sagittal|)| }} | |<big>{{sagittal|)| }}</big> | ||
|{{sagittal| |(}} | |<big>{{sagittal| |(}}</big> | ||
|{{sagittal|~| }} | |<big>{{sagittal|~| }}</big> | ||
|{{sagittal|)|(}} | |<big>{{sagittal|)|(}}</big> | ||
|{{sagittal|)~| }} | |<big>{{sagittal|)~| }}</big> | ||
|{{sagittal|~|(}} | |<big>{{sagittal|~|(}}</big> | ||
|{{sagittal| |~}} | |<big>{{sagittal| |~}}</big> | ||
|{{sagittal|~~|}} | |<big>{{sagittal|~~|}}</big> | ||
|{{sagittal|)|~}} | |<big>{{sagittal|)|~}}</big> | ||
|{{sagittal|/|}} | |<big>{{sagittal|/|}}</big> | ||
|{{sagittal|)/|}} | |<big>{{sagittal|)/|}}</big> | ||
|{{sagittal| |)}} | |<big>{{sagittal| |)}}</big> | ||
|{{sagittal|)|)}} | |<big>{{sagittal|)|)}}</big> | ||
|{{sagittal| |\}} | |<big>{{sagittal| |\}}</big> | ||
|{{sagittal|(|}} | |<big>{{sagittal|(|}}</big> | ||
|{{sagittal|~|)}} | |<big>{{sagittal|~|)}}</big> | ||
|{{sagittal|/|~}} | |<big>{{sagittal|/|~}}</big> | ||
|{{sagittal|(|(}} | |<big>{{sagittal|(|(}}</big> | ||
|{{sagittal|~|\}} | |<big>{{sagittal|~|\}}</big> | ||
|{{sagittal|//| }} | |<big>{{sagittal|//| }}</big> | ||
|{{sagittal|)//| }} | |<big>{{sagittal|)//| }}</big> | ||
|{{sagittal|/|)}} | |<big>{{sagittal|/|)}}</big> | ||
|{{sagittal|(|~}} | |<big>{{sagittal|(|~}}</big> | ||
|{{sagittal|/|\}} | |<big>{{sagittal|/|\}}</big> | ||
|{{sagittal|(/| }} | |<big>{{sagittal|(/| }}</big> | ||
| rowspan="2" |{{sagittal|)/|\}} | | rowspan="2" |<big>{{sagittal|)/|\}}</big> | ||
|- | |- | ||
|Complement | |Complement | ||
|{{sagittal|/||\}} | |<big>{{sagittal|/||\}}</big> | ||
|{{sagittal|(||~}} | |<big>{{sagittal|(||~}}</big> | ||
|{{sagittal|/||)}} | |<big>{{sagittal|/||)}}</big> | ||
|{{sagittal|)//|| }} | |<big>{{sagittal|)//|| }}</big> | ||
|{{sagittal|//|| }} | |<big>{{sagittal|//|| }}</big> | ||
|{{sagittal|~||\}} | |<big>{{sagittal|~||\}}</big> | ||
|{{sagittal|(||(}} | |<big>{{sagittal|(||(}}</big> | ||
|{{sagittal|/||~}} | |<big>{{sagittal|/||~}}</big> | ||
|{{sagittal|~||)}} | |<big>{{sagittal|~||)}}</big> | ||
|{{sagittal|(|| }} | |<big>{{sagittal|(|| }}</big> | ||
|{{sagittal|||\}} | |<big>{{sagittal|||\}}</big> | ||
|{{sagittal|)||)}} | |<big>{{sagittal|)||)}}</big> | ||
|{{sagittal|||)}} | |<big>{{sagittal|||)}}</big> | ||
|{{sagittal|)/|| }} | |<big>{{sagittal|)/|| }}</big> | ||
|{{sagittal|/|| }} | |<big>{{sagittal|/|| }}</big> | ||
|{{sagittal|)||~}} | |<big>{{sagittal|)||~}}</big> | ||
|{{sagittal|~~|| }} | |<big>{{sagittal|~~|| }}</big> | ||
|{{sagittal|||~}} | |<big>{{sagittal|||~}}</big> | ||
|{{sagittal|~||(}} | |<big>{{sagittal|~||(}}</big> | ||
|{{sagittal|)~||}} | |<big>{{sagittal|)~||}}</big> | ||
|{{sagittal|)||(}} | |<big>{{sagittal|)||(}}</big> | ||
|{{sagittal|)|\\}} | |<big>{{sagittal|)|\\}}</big> | ||
|{{sagittal|(|\}} | |<big>{{sagittal|(|\}}</big> | ||
|{{sagittal||\\}} | |<big>{{sagittal||\\}}</big> | ||
|{{sagittal|(|)}} | |<big>{{sagittal|(|)}}</big> | ||
|{{sagittal||\)}} | |<big>{{sagittal||\)}}</big> | ||
|} | |} | ||
{{sagittal|)/|\}} | {{sagittal|)/|\}} doesn't have an assigned apotome complement, so in many tuning systems it is itself. | ||
== Notation software support == | == Notation software support == | ||
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{{sge| /¦\ | \!/ | pak | 33/32 | 11 medium diesis }} | {{sge| /¦\ | \!/ | pak | 33/32 | 11 medium diesis }} | ||
{{sge| (¦) | (!) | jat | 729/704 | 11 large diesis }} | {{sge| (¦) | (!) | jat | 729/704 | 11 large diesis }} | ||
{{sge| (¦\ | (!/ | jak | 8505/8192 | 35 large diesis }} | {{sge| (¦\ | (!/ | jak | 8505/8192 | 35 large diesis }}phai/phao, patai/patao, pakai/pakao, jatai/jatao, jakai/jakao can be spelled fai/fao, gai/gao, vai/vao, wai/wao, dai/dao. The pronunciation is loosely defined; can depend on the language in which it is said. | ||
</div> | </div> | ||
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{{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| )¦\\ | )!// | rakh | 885735/851968 | 13/5L | mid=48px }} | {{sge| )¦\\ | )!// | rakh | 885735/851968 | 13/5L | mid=48px }}srai/srao, phrai/phrao, prakai/prakao, khai/khao, rakhai/rakhao can be spelled as slai/slao, frai/frao, vrai/vrao, chai/chao, rachai/rachao. | ||
=== Promethean extension multi-shaft === | === Promethean extension multi-shaft === | ||