Bird's eye view of temperaments by accuracy: Difference between revisions
add generator tunings for sensible and srutal |
m add generator tunings for didacus and mediantone |
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Bound-violating intervals: [[35/22]], [[49/44]] | Bound-violating intervals: [[35/22]], [[49/44]] | ||
[[#Generator tunings|Generator tunings]]: 5\31, 6\37, 11\68 | |||
Didacus is a uniquely efficient no-3's focus temperament, mapping the no-3's 11-limit with ease and at the cost of accuracy admitting an extension to the no-3's 19-limit called [[#Mediantone]]. | Didacus is a uniquely efficient no-3's focus temperament, mapping the no-3's 11-limit with ease and at the cost of accuracy admitting an extension to the no-3's 19-limit called [[#Mediantone]]. | ||
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Bound-violating intervals: [[25/17]], [[28/17]], [[55/34]] (all intervals of 17; note odd 35 can be added but is high error) | Bound-violating intervals: [[25/17]], [[28/17]], [[55/34]] (all intervals of 17; note odd 35 can be added but is high error) | ||
[[#Generator tunings|Generator tunings]]: 13\80 | |||
Though not quite as accurate as [[#Didacus]], mediantone is notable for extending didacus to the full no-3's 19-limit. It does well in an optimized tuning, though if one wants to use an edo tuning, the main tuning of interest is [[80edo]], which finds primes 3 and 23 as well. | Though not quite as accurate as [[#Didacus]], mediantone is notable for extending didacus to the full no-3's 19-limit. It does well in an optimized tuning, though if one wants to use an edo tuning, the main tuning of interest is [[80edo]], which finds primes 3 and 23 as well. | ||