Diaschismic–gothmic equivalence continuum: Difference between revisions

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The gothic comma is the characteristic [[3-limit]] comma tempered out in 34edo. Describing the continuum this way has notable advantages – in particular, due to being determined in terms of the 3-limit comma and the comma with the next lowest power of 5, twice the numerator of the value of ''n'' represents the number of generator steps required to reach the interval class of [[3/1|3]].

Another reasonable way of defining this continuum equates a number of diaschismas with the [[393216/390625|würschmidt comma (393216/390625)]], so that (2048/2025)<sup>''k''</sup> ~ 393216/390625. As a result, ''k'' = 4 - ''n'', and this may also be called the ''diaschismic-würschmidt equivalence continuum''~~, which is more or less the same thing~~. The just value of ''k'' is 0.5853…, and temperaments near this tend to be the most accurate.

Another reasonable way of defining this continuum equates a number of diaschismas with the [[393216/390625|würschmidt comma (393216/390625)]], so that (2048/2025)<sup>''k''</sup> ~ 393216/390625. As a result, ''k'' = 4 - ''n'', and this labeling may also be called the ''diaschismic-würschmidt equivalence continuum''. The just value of ''k'' is 0.5853…, and temperaments near this tend to be the most accurate.

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 The gothic comma is the characteristic [[3-limit]] comma tempered out in 34edo. Describing the continuum this way has notable advantages – in particular, due to being determined in terms of the 3-limit comma and the comma with the next lowest power of 5, twice the numerator of the value of ''n'' represents the number of generator steps required to reach the interval class of [[3/1|3]].
-Another reasonable way of defining this continuum equates a number of diaschismas with the [[393216/390625|würschmidt comma (393216/390625)]], so that (2048/2025)<sup>''k''</sup> ~ 393216/390625. As a result, ''k'' = 4 - ''n'', and this may also be called the ''diaschismic-würschmidt equivalence continuum'', which is more or less the same thing. The just value of ''k'' is 0.5853…, and temperaments near this tend to be the most accurate.
+Another reasonable way of defining this continuum equates a number of diaschismas with the [[393216/390625|würschmidt comma (393216/390625)]], so that (2048/2025)<sup>''k''</sup> ~ 393216/390625. As a result, ''k'' = 4 - ''n'', and this labeling may also be called the ''diaschismic-würschmidt equivalence continuum''. The just value of ''k'' is 0.5853…, and temperaments near this tend to be the most accurate.
 {| class="wikitable center-1 center-2"