Talk:Sagittal notation: Difference between revisions

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== Dual-value harmonics (Sagittal edition)? ==

What notation should one use for systems with dual values for a harmonic? For instance, 55edo has a 7th harmonic that is far enough from just to merit interpretation as 7♯ with only mostly more raw error than 7♭, and the 7♯ would actually introduce less error in combination with the sharp (but not split) 5th harmonic, while 7♭ would introduce less error in combination withe flat 3rd and 11th harmonics or by itself. Similar situations occur with 48edo and 67edo with their split 5th harmonics, and with any dual-fifth system. (Posting this separately in Talk pages for Helmholtz-Ellis and Sagittal in case they have different answers.) [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:35, 24 August 2025 (UTC)

:Hi Lucius. Those questions would better have been asked on https://forum.sagittal.org since they are more about the notations than about this article. But if you look at the recommended sagittal notations in the wiki articles for the EDOs you mention, you will see that when some harmonic has two possible mappings in a given EDO we do not use the symbol for that harmonic in notating that EDO. In the case of EDOs that have two possible fifths we have different notations depending on which fifth you choose. See for example 23edo where we give a "23" notation and a "23b" (second best fifth) notation. If the error in the fifth is very great we recommend notating as a subset of a larger EDO. See for example 11edo. A convenient way to access all these notations is by clicking on this chart: https://sagittal.org/#periodic-table. You can get back to that chart from any notation by clicking the coloured tile in the top right corner of the notation image. [[User:Dave Keenan|Dave Keenan]] ([[User talk:Dave Keenan|talk]]) 02:51, 18 October 2025 (UTC)

== Primary and Secondary roles of glyphs? ==

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 == Dual-value harmonics (Sagittal edition)? ==
 What notation should one use for systems with dual values for a harmonic?  For instance, 55edo has a 7th harmonic that is far enough from just to merit interpretation as 7♯ with only mostly more raw error than 7♭, and the 7♯ would actually introduce less error in combination with the sharp (but not split) 5th harmonic, while 7♭ would introduce less error in combination withe flat 3rd and 11th harmonics or by itself.  Similar situations occur with 48edo and 67edo with their split 5th harmonics, and with any dual-fifth system.  (Posting this separately in Talk pages for Helmholtz-Ellis and Sagittal in case they have different answers.)  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:35, 24 August 2025 (UTC)
+:Hi Lucius. Those questions would better have been asked on https://forum.sagittal.org since they are more about the notations than about this article. But if you look at the recommended sagittal notations in the wiki articles for the EDOs you mention, you will see that when some harmonic has two possible mappings in a given EDO we do not use the symbol for that harmonic in notating that EDO. In the case of EDOs that have two possible fifths we have different notations depending on which fifth you choose. See for example 23edo where we give a "23" notation and a "23b" (second best fifth) notation. If the error in the fifth is very great we recommend notating as a subset of a larger EDO. See for example 11edo. A convenient way to access all these notations is by clicking on this chart: https://sagittal.org/#periodic-table. You can get back to that chart from any notation by clicking the coloured tile in the top right corner of the notation image. [[User:Dave Keenan|Dave Keenan]] ([[User talk:Dave Keenan|talk]]) 02:51, 18 October 2025 (UTC)
 == Primary and Secondary roles of glyphs? ==