Vishnu family: Difference between revisions
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Named by [[User:Godtone|Godtone]] after its inaccurate but simple interpretation of its half-octave period as [[~]][[7/5]][[~]][[10/7]], vishy represents the absolute simplest way to reach prime 7 by interpreting three chromas (~25/24 gens) as a significantly flat [[~]][[8/7]]. Its mapping might be deemed favorable because of all primes being reached in a negative number of generators, with the most complex, 11, being reached in -9 (as in vishnean). In fact, this temperament's mapping is identical to that of [[vishnean]] up to a simpler, higher-damage mapping of 7 in the same direction as all the other primes. It is also supported by [[50edo]] via the 50d [[val]], recommendable for its lower damage on prime 7, being close to an optimal tuning of it (when disregarding note count of the edo). It's also recommendable in [[84edo]] via the 84dd val, where 7 is ~1.7{{c}} sharper but everything else is significantly more accurate. | Named by [[User:Godtone|Godtone]] after its inaccurate but simple interpretation of its half-octave period as [[~]][[7/5]][[~]][[10/7]], vishy represents the absolute simplest way to reach prime 7 by interpreting three chromas (~25/24 gens) as a significantly flat [[~]][[8/7]]. Its mapping might be deemed favorable because of all primes being reached in a negative number of generators, with the most complex, 11, being reached in -9 (as in vishnean). In fact, this temperament's mapping is identical to that of [[vishnean]] up to a simpler, higher-damage mapping of 7 in the same direction as all the other primes. It is also supported by [[50edo]] via the 50d [[val]], recommendable for its lower damage on prime 7, being close to an optimal tuning of it (when disregarding note count of the edo). It's also recommendable in [[84edo]] via the 84dd val, where 7 is ~1.7{{c}} sharper but everything else is significantly more accurate. | ||
Therefore, it should be noted that as only the mapping of 7 differs from vishnean, using both mappings in any of [[34edo]], [[50edo]] and [[84edo]] (with 2.3.5.11 fixed) could be seen as the primary and opportunistic utility of this temperament, using whichever mapping of 7 happens to be more convenient in a given harmonic situation. | Therefore, it should be noted that as only the mapping of 7 differs from vishnean, using both mappings in any of [[34edo]], [[50edo]] and [[84edo]] (with [[2.3.5.11 subgroup]] fixed) could be seen as the primary and opportunistic utility of this temperament, using whichever mapping of 7 happens to be more convenient in a given harmonic situation. | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||