User:Moremajorthanmajor/5L 2s (5/3-equivalent): Difference between revisions
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The near-just part of the region is of interest mainly for those interested in “3/4” [[Pythagorean tuning]] and large, accurate eds systems based on close-to-Pythagorean fifths, such as 41ED5/3 and 53ED5/3. This class of tunings is called [[schisma|trischismic]] temperament; these tunings can approximate 5<sup>3/4</sup>-limit harmonies very accurately by [[tempering out]] a small comma called the [[schisma]]. (Technically, 12ED5/3 tempers out the schisma and thus is a schismic tuning, but it is nowhere near as accurate as schismic tunings can be.)<!--(see [[5L 2s/Temperaments#Schismic]])-->. | The near-just part of the region is of interest mainly for those interested in “3/4” [[Pythagorean tuning]] and large, accurate eds systems based on close-to-Pythagorean fifths, such as 41ED5/3 and 53ED5/3. This class of tunings is called [[schisma|trischismic]] temperament; these tunings can approximate 5<sup>3/4</sup>-limit harmonies very accurately by [[tempering out]] a small comma called the [[schisma]]. (Technically, 12ED5/3 tempers out the schisma and thus is a schismic tuning, but it is nowhere near as accurate as schismic tunings can be.)<!--(see [[5L 2s/Temperaments#Schismic]])-->. | ||
The sharp-of-just part of this range includes so-called “3/4 [[neogothic]]" or "3/4 parapyth" systems, which tune the diatonic major third slightly flatly of [[6/5]] and the diatonic minor third slightly sharply of [[12/11]]. Good 3/4 neogothic EDSs include 29ED5/3 and 46ED5/3. 17ED5/3 is often considered the sharper end of the 3/4 neogothic spectrum; its major third at | The sharp-of-just part of this range includes so-called “3/4 [[neogothic]]" or "3/4 parapyth" systems, which tune the diatonic major third slightly flatly of [[6/5]] and the diatonic minor third slightly sharply of [[12/11]]. Good 3/4 neogothic EDSs include 29ED5/3 and 46ED5/3. 17ED5/3 is often considered the sharper end of the 3/4 neogothic spectrum; its major third at 312 cents (416 śata) is considerably more concordant than in flatter neogothic tunings. | ||
===Parahard to ultrahard=== | ===Parahard to ultrahard=== | ||
"3/4 Archy" systems such as 17ED5/3, 22ED5/3, and 27ED5/3. | "3/4 Archy" systems such as 17ED5/3, 22ED5/3, and 27ED5/3. | ||