Erac: Difference between revisions

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Eracs, short for error accidentals, are a way of denoting error cancelation in a subgroup.
'''Eracs''', short for error accidentals, are symbols that denote error cancelation in a subgroup. This is especially important in the context of [[Straddle primes]].
 
{| class="wikitable"
|+Erac Meanings
|-
|<
|Flat by a set arbitrary amount.
|-
|<>
|Critically flat/sharp.
|-
|>
|Sharp by a set arbitrary amount.
|}
 
Eracs can be placed before or after a number, although it is preferred in ratios for the denominator to have the erac adjacent to the slash. Eracs on the denominator have an inverse effect on the size of a tempered ratio.
 
For example, 37edo could be called 2.<<3.>3.5.7.11.13, such that adding the flat 3 and two sharp 3s results in a good 27.
For example, 37edo could be called 2.<<3.>3.5.7.11.13, such that adding the flat 3 and two sharp 3s results in a good 27.


See also: erac temperament optimization [[https://spoogly.website/tools/gto.html]]
See also: erac temperament optimization [[https://spoogly.website/tools/gto.html]]


[[Category:Atypical ratios]]
[[index.php?title=Category:Atypical ratios]]

Revision as of 05:42, 16 December 2025

This page or section is a work in progress. It may lack sufficient justification, content, or organization, and is subject to future overhaul.

Eracs, short for error accidentals, are symbols that denote error cancelation in a subgroup. This is especially important in the context of Straddle primes.

Erac Meanings
< Flat by a set arbitrary amount.
<> Critically flat/sharp.
> Sharp by a set arbitrary amount.

Eracs can be placed before or after a number, although it is preferred in ratios for the denominator to have the erac adjacent to the slash. Eracs on the denominator have an inverse effect on the size of a tempered ratio.

For example, 37edo could be called 2.<<3.>3.5.7.11.13, such that adding the flat 3 and two sharp 3s results in a good 27.

See also: erac temperament optimization [[1]]

index.php?title=Category:Atypical ratios