User:BudjarnLambeth/1ed28.7c: Difference between revisions
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Although it is not exactly 28.7 cents, it is close enough that it can reasonably be referred to as '''1 equal division of 28.7 cents''' ('''1ed28.7c'''). This title is used for ease of navigation and comparison with other [[arithmetic pitch sequence]]s on the wiki. | Although it is not exactly 28.7 cents, it is close enough that it can reasonably be referred to as '''1 equal division of 28.7 cents''' ('''1ed28.7c'''). This title is used for ease of navigation and comparison with other [[arithmetic pitch sequence]]s on the wiki. | ||
==Theory== | |||
APS720jot is a kind of opposite twin to the scale [[191zpi]]. 191zpi makes [[42edo]] into a better 2.3.5.11.13 tuning, while APS720jot makes 42edo into a better 2.3.5.7.17 tuning. They both improve 42edo but in opposite directions. | |||
APS720jot divides [[2/1]] into ~41.8097 equal parts, making it close to [[42edo]], but with [[pseudo-octave|impure octaves]] and better approximations of harmonics [[3/1]] and [[5/1]]. | APS720jot divides [[2/1]] into ~41.8097 equal parts, making it close to [[42edo]], but with [[pseudo-octave|impure octaves]] and better approximations of harmonics [[3/1]] and [[5/1]]. | ||
==Harmonics== | ===Harmonics=== | ||
{{harmonics in cet|28.701432|intervals=prime|title=Harmonics in APS720jot}} | {{harmonics in cet|28.701432|intervals=prime|title=Harmonics in APS720jot}} | ||