30th-octave temperaments: Difference between revisions
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Due to [[landscape comma]] being a notable comma that divides the octave in 3, many temperaments whose wheel is a multiple of 3 (such as 12, 15, 24, etc.), end up belonging in the [[landscape microtemperaments]]. This page therefore describes theoretical interest specific to [[30edo]], beyond just belonging in that group. | Due to [[landscape comma]] being a notable comma that divides the octave in 3, many temperaments whose wheel is a multiple of 3 (such as 12, 15, 24, etc.), end up belonging in the [[landscape microtemperaments]]. This page therefore describes theoretical interest specific to [[30edo]], beyond just belonging in that group. | ||
[[Zinc]] is a prominent 30th-octave temperament, see [[Landscape microtemperaments#Zinc]] for technical details. From a fractional-octave perspective, MOS scales of zinc are significantly distinct from either landscape rank-3 scales or the 10th-octave mos scales that produce neon or its descendant temperaments like [[deca]]. The 120-tone mos has [[65/64]] within reach. [[Poe]] is another temperament of interest. | [[Zinc]] is a prominent 30th-octave temperament, see [[Landscape microtemperaments#Zinc]] for technical details. From a fractional-octave perspective, MOS scales of zinc are significantly distinct from either landscape rank-3 scales or the 10th-octave mos scales that produce neon or its descendant temperaments like [[deca]]. The 120-tone mos has [[65/64]] within reach. [[Poe]] is another temperament of interest, and [[triacontoid]] as well, belonging in the [[quintosec family]]. | ||
Considered below is oyster. | Considered below is oyster. | ||
== Oyster == | == Oyster == | ||
Oyster is a 2.7.11.19 restriction of zinc of reasonably low badness and contains all the harmonics within the reach of a standard MIDI 128-note keyboard ― 120 notes is sufficient to cover all the temperament for the subgroup. Furthermore, [[7/4]] is the generator. As harmonics 3 and 5 are not used, oyster is neither a landscape nor neon temperament. | Oyster is a 2.7.11.19 weak restriction of zinc of reasonably low badness and contains all the harmonics within the reach of a standard MIDI 128-note keyboard ― 120 notes is sufficient to cover all the temperament for the subgroup. Furthermore, [[7/4]] is the generator. As harmonics 3 and 5 are not used, oyster is neither a landscape nor neon temperament. | ||
Overall, this temperament is a simple augmentation of 30edo with harmonics 7, 11, and 19 that is unique and of decent badness. | Overall, this temperament is a simple augmentation of 30edo with harmonics 7, 11, and 19 that is unique and of decent badness. | ||