Sagittal notation: Difference between revisions

Dave Keenan (talk | contribs)
Changed most occurrences of "diacritic" to "accent" for consistency with https://sagittal.org/sagittal.pdf and the Sagitype wiki article, although we are stuck with "diacritic" in the SMuFL documentation. Made the accents a separate gallery and made it default to collapsed, consistent with the Sagitype wiki article.
Dave Keenan (talk | contribs)
Prime approximations: Showed correct error for 29 in Magrathean and 31 in Olympian and Magrathean, namely no error. Deleted final paragraph which I couldn't parse in any way that made sense or gave true statements.
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== Prime approximations ==
== Prime approximations ==
Here are some approximations to octave reduced primes from D, using the several precision sets available in JI. Values in parentheses are absolute error in cents from just; if exact, none is displayed.
Here are some approximations to primes from D, using the several precision sets available in JI. Values in parentheses are absolute error in cents from just; if exact, none is displayed.
{| class="wikitable"
{| class="wikitable"
|
|
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| rowspan="2" |B {{sagittal|,}}{{sagittal|(!/}}
| rowspan="2" |B {{sagittal|,}}{{sagittal|(!/}}
|C {{sagittal|`}}{{sagittal|(| }} (0.130)
|C {{sagittal|`}}{{sagittal|(| }} (0.130)
| rowspan="2" |D {{sagittal|,}}{{sagittal|(\!}} (0.013)
| rowspan="2" |D {{sagittal|,}}{{sagittal|(\!}}
|-
|-
|Magrathean
|Magrathean
|C {{sagittal|@2}}{{sagittal|(| }} (0.039)
|C {{sagittal|@2}}{{sagittal|(| }}
|}
|}
Tempered systems might yield better or worse approximations to each just interval. Used for JI, only some non-Pythagorean intervals in the 23-limit will ever be exact. The error gets increasingly small however, down to hundredths of a cent in Magrathean.


== Gallery of core accidentals ==
== Gallery of core accidentals ==