Landscape microtemperaments: Difference between revisions
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'''Landscape microtemperaments''' are rank two temperaments tempering out the [[landscape comma]], |-4 6 -6 3> = 250047/250000. This is the amount by which three [[63/50]] intervals exceed an octave. Tempering 63/50 interval into one degree of 3edo (exact 400 cents) is highly characteristic of landscape tempering; any tuning system (41edo, for example) which the number of divisions of the octave is not multiple of 3 cannot be tempering out the landscape comma. | '''Landscape microtemperaments''' are rank two temperaments tempering out the [[landscape comma]], |-4 6 -6 3> = 250047/250000. This is the amount by which three [[63/50]] intervals exceed an octave, and is also the amount by which a stack of three [[225/224|septimal kleismas]] fall short of the [[Pythagorean comma]]. Tempering 63/50 interval into one degree of 3edo (exact 400 cents) is highly characteristic of landscape tempering; any tuning system (41edo, for example) which the number of divisions of the octave is not multiple of 3 cannot be tempering out the landscape comma. | ||
Landscape rank-two temperaments include sextile, septichrome, pnict, and domain. Considered elsewhere are [[Ragismic microtemperaments|ennealimmal]], [[Hemimean clan|misty]], [[Porwell temperaments|nessafof]], and [[Hemimage temperaments|chromat]]. | Landscape rank-two temperaments include sextile, septichrome, pnict, and domain. Considered elsewhere are [[Ragismic microtemperaments|ennealimmal]], [[Hemimean clan|misty]], [[Porwell temperaments|nessafof]], and [[Hemimage temperaments|chromat]]. |