256/255: Difference between revisions
Srutal archagall should only be discussed under 136/135 due to its inaccuracy compared to {256/255} |
this is a silly reason, it's clear to any1 working with the commas (& more clear if we use S-expression notation, so i've added that to clarify, altho it was already present) that there is more damage implied, but srutal archagall is notable as being the way of making diaschismic much more accurate and interesting and giving it more interpretations, & it's natural to see it at least mentioned here; i avoided for 289/288 cuz it's more debatable there, but even then its omission feels out of place Tag: Undo |
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{{Optimal ET sequence|legend=1| 15, 19, 22, 31, 41, 46, 58, 77, 80, 87, 99ef, 111, 121, 152fg, 167, 198g, 256cfg, 319fgg, 377cdefgg, 507cdeefggg, 705bccdeeffggg }} | {{Optimal ET sequence|legend=1| 15, 19, 22, 31, 41, 46, 58, 77, 80, 87, 99ef, 111, 121, 152fg, 167, 198g, 256cfg, 319fgg, 377cdefgg, 507cdeefggg, 705bccdeeffggg }} | ||
=== Srutal archagall === | |||
By also tempering the semitonisma ([[289/288]] = S17), an efficient (but lower accuracy) temperament known as [[Srutal archagall]] is achieved (equivalently described as [[charic]] [[semitonic]]), which has [[17/15]]~[[9/8]] and therefore makes the minor third reached by the circle of fifths equal to ~[[20/17]]. | |||
This is because of a general fact of [[S-expression]]s; in this case it manifests as that: {[[diaschisma|S16<sup>2</sup> × S17]] , [[24576/24565|S16/S17]]} = {[[256/255|S16]], [[289/288|S17]]} | |||
== Etymology and history == | == Etymology and history == | ||