240edo: Difference between revisions
this is the OPV for 5-limit compton |
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{{EDO intro|240}} | {{EDO intro|240}} | ||
==Theory== | ==Theory== | ||
240edo, | 240edo provides the optimal patent val for the [[compton]] temperament in the 5-limit, the rank-2 temperament associated with the [[Pythagorean comma]]. Alternate mapping for 3/2 is the 705-cent sharp fifth inherited from [[80edo]]. | ||
240edo's patent val tempers out the [[225/224]] in the 7-limit, with low resultant errors (two cents flat for the fifth, a little over a cent flat and sharp, respectively, for the major third and the 7/4.) Retuning 5-limit scales to 240edo is a simple way to to make them function as 7-limit scales while retaining very accurate tuning. One important use for it is in tuning marvel temperament and marvel's extension to spectacle temperament. | 240edo's patent val tempers out the [[225/224]] in the 7-limit, with low resultant errors (two cents flat for the fifth, a little over a cent flat and sharp, respectively, for the major third and the 7/4.) Retuning 5-limit scales to 240edo is a simple way to to make them function as 7-limit scales while retaining very accurate tuning. One important use for it is in tuning marvel temperament and marvel's extension to spectacle temperament. | ||