Dual-fifth tuning: Difference between revisions
→Dual-fifth edos: rewrite, and I think because "fifth" is inherently a western encultured concept, 35edo should take the lead of being a "quintessential" dual-fifth system. Contrast if the page instead was named "Dual-3/2" tuning or "Dual-sesquitave tuning" on the other hand, this is dual-fifth |
important distnction, distinguish also scales and edos, 25et may have a dual-fifth mos scale but may not be the quintessential dual-fifth edo |
||
| Line 1: | Line 1: | ||
A '''dual-fifth tuning system''' is a [[tuning system]], often octave-equivalent, with two sizes of fifths, '''major fifth''' and '''minor fifth''' instead of a single perfect fifth, and accordingly two sizes of fourths, '''major fourth''' and '''minor fourth''' instead of a single perfect fourth. The opposite of dual-fifth may be called ''plain-fifth''. | A '''dual-fifth tuning system''' is a [[tuning system]], often octave-equivalent and often treated as extension of Western music theory, with two sizes of fifths, '''major fifth''' and '''minor fifth''' instead of a single perfect fifth, and accordingly two sizes of fourths, '''major fourth''' and '''minor fourth''' instead of a single perfect fourth. The opposite of dual-fifth may be called ''plain-fifth''. | ||
Other tuning systems may also be considered as '''dual-3''' in a context where 3/2 does not occupy five staff positions. | |||
== Dual-fifth scales == | |||
Sixix[7] can be regarded as the scale which is the most authentic representation of the "dual-fifth" phenomenon via its modes, since it features both sharp and flat fifth on different modes, and the interval in this case occupies 5 staff positions. For example, in [[25edo]], sixix can take form of 4 3 4 3 4 3 4, where five staff positions occupy 18\25 (sharp fifth), but if the mode is 3 4 3 4 3 4 4, then five staff positions are equal to 17\25 (flat fifth). | |||
== Dual-fifth edos == | == Dual-fifth edos == | ||