Sagittal notation: Difference between revisions

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<span style="display: block; text-align: right;">[[de:Sagittalnotation]]</span>

[[file:sagittal_sample.gif]]

~~{{todo | expand | inline=1 | comment=Explain the Athenian level's relationship to the Brahmagupta (7 & 224) temperament. }}~~

'''Sagittal notation''' is a [[musical notation]] system capable of notating almost any conceivable tuning. It was developed by [[Dave Keenan]] and [[George Secor]] with significant contributions from numerous others.

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* Tibia in [[22edo]] by [[Paul Erlich]] ([http://www.youtube.com/watch?v=d44Lfp9lAG8 Listen]). Sagittal score [[:File:TIBIA.pdf|in F||\]] or [[:File:tibia_in_g.pdf|in G]] (contains errors in measures 9, 19 and 20)

* [[:File:Ivor_Darreg,_Suite.pdf|On the Enharmonic Tetrachord (from Suite, Op. 62)]], in [[22edo]], by [[Ivor Darreg]]. Originally printed in the Spring 1975 issue of Xenharmonikon in quarter-tone notation. Transcribed to Sagittal by [[Juhani Nuorvala]].([https://www.youtube.com/watch?v=DvHvza1vtfo Listen])

== The Athenian symbol set ==

Early in the design of the Sagittal notation system, Secor and Keenan found that an economical JI notation system could be defined, which divided the apotome (Pythagorean sharp or flat) into 21 almost-equal divisions. This required only 10 microtonal accidentals, although a few others were added for convenience in alternative spellings. This is called the Athenian symbol set (which includes the Spartan set), shown below. Its symbols are defined to exactly notate many common 11-limit ratios and the 17th harmonic, and to approximate within ±0.4 ¢ many common 13-limit ratios. If the divisions were made exactly equal, this would be an example of [[Brahmagupta]] temperament.

== Gallery ==

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 <span style="display: block; text-align: right;">[[de:Sagittalnotation]]</span>
 [[file:sagittal_sample.gif]]
-{{todo | expand | inline=1 | comment=Explain the Athenian level's relationship to the Brahmagupta (7 & 224) temperament. }}
 '''Sagittal notation''' is a [[musical notation]] system capable of notating almost any conceivable tuning. It was developed by [[Dave Keenan]] and [[George Secor]] with significant contributions from numerous others.
@@ Line 57: / Line 55: @@
 * Tibia in [[22edo]] by [[Paul Erlich]] ([http://www.youtube.com/watch?v=d44Lfp9lAG8 Listen]). Sagittal score [[:File:TIBIA.pdf|in F||\]] or [[:File:tibia_in_g.pdf|in G]] (contains errors in measures 9, 19 and 20)
 * [[:File:Ivor_Darreg,_Suite.pdf|On the Enharmonic Tetrachord (from Suite, Op. 62)]], in [[22edo]], by [[Ivor Darreg]]. Originally printed in the Spring 1975 issue of Xenharmonikon in quarter-tone notation. Transcribed to Sagittal by [[Juhani Nuorvala]].([https://www.youtube.com/watch?v=DvHvza1vtfo Listen])
+== The Athenian symbol set ==
+Early in the design of the Sagittal notation system, Secor and Keenan found that an economical JI notation system could be defined, which divided the apotome (Pythagorean sharp or flat) into 21 almost-equal divisions. This required only 10 microtonal accidentals, although a few others were added for convenience in alternative spellings. This is called the Athenian symbol set (which includes the Spartan set), shown below. Its symbols are defined to exactly notate many common 11-limit ratios and the 17th harmonic, and to approximate within ±0.4 ¢ many common 13-limit ratios. If the divisions were made exactly equal, this would be an example of [[Brahmagupta]] temperament.
 == Gallery ==