Talk:Helmholtz–Ellis notation: Difference between revisions
Dual-value harmonics? |
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== Dual-value harmonics (Helmholtz-Ellis edition)? == | == Dual-value harmonics (Helmholtz-Ellis 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. [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09: | 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]]) 09:36, 24 August 2025 (UTC) | ||