Godtone (talk | contribs)
Godtone (talk | contribs)
Line 92: Line 92:
* 26: Neat for having very good 8/7's and 10/9's, both flavours of major second that I very much appreciate (while 9/8 can get pretty bland). Basically the only tuning of [[flattone]] that I'd consider using as its about as big as a flattone system should be. Note that while 19 EDO is technically also flattone, it represents the border between sharper meantones and flattone, so I do not consider it a proper (in the sense of typical/representative) example of such (for example 19 EDO trying to combine the mappings of 7 as augmented sixth and diminished seventh results in [[49/48|S7]] being tempered, which is to me harmonically almost as implausible as tempering [[25/24]], so definitely an [[exotemperament]]/"troll temperament"). Furthermore, in this tuning of flattone the minor seconds are 13/12's, thus representing a near-equal diatonic such that the minor seconds are subneutral seconds. Has the benefit of extending 13 EDO into a larger and more complete colour set and conceptual framework, creating some truly xenharmonic and xenmelodic opportunities with flattone acting as a rough roadmap back to the more familiar things. Very nice model of the 2.7.11 subgroup; in my eye, it is to the 2.7.11 subgroup as 31 EDO is to the 2.5.7 subgroup.
* 26: Neat for having very good 8/7's and 10/9's, both flavours of major second that I very much appreciate (while 9/8 can get pretty bland). Basically the only tuning of [[flattone]] that I'd consider using as its about as big as a flattone system should be. Note that while 19 EDO is technically also flattone, it represents the border between sharper meantones and flattone, so I do not consider it a proper (in the sense of typical/representative) example of such (for example 19 EDO trying to combine the mappings of 7 as augmented sixth and diminished seventh results in [[49/48|S7]] being tempered, which is to me harmonically almost as implausible as tempering [[25/24]], so definitely an [[exotemperament]]/"troll temperament"). Furthermore, in this tuning of flattone the minor seconds are 13/12's, thus representing a near-equal diatonic such that the minor seconds are subneutral seconds. Has the benefit of extending 13 EDO into a larger and more complete colour set and conceptual framework, creating some truly xenharmonic and xenmelodic opportunities with flattone acting as a rough roadmap back to the more familiar things. Very nice model of the 2.7.11 subgroup; in my eye, it is to the 2.7.11 subgroup as 31 EDO is to the 2.5.7 subgroup.
* 31: The next EDO that melodically approximates the 11-limit, and considerably better. Extremely nice arrangement of intervals that feels weirdly intuitive and ideal. Colourful EDO. Basically ideal meantone tuning as more notes than this is overkill for meantone if you don't specifically want meantone.
* 31: The next EDO that melodically approximates the 11-limit, and considerably better. Extremely nice arrangement of intervals that feels weirdly intuitive and ideal. Colourful EDO. Basically ideal meantone tuning as more notes than this is overkill for meantone if you don't specifically want meantone.
* 32: 16 EDO with a sharp fifth. I like it primarily because of it being a power of 2. Exploration into this EDO could be interesting.
* 32: 16 EDO with a sharp fifth. I like it primarily because of it being a power of 2. Exploration into this EDO could be interesting. 80 EDO offers a reasonably good approximation of it through a 16L16s MOSS.
* 34: The first good approximation of the 5-prime-limit due to being the first reasonably accurate tuning of [[Kleismic family|Hanson AKA kleismic]]. 19 is also a tuning for kleismic but feels like it doesn't do justice to the accuracy and pristineness of kleismic to me. Has the sharp 3/2's of 17 EDO, and as 17 EDO is a good colour system, 34 EDO is a natural extension. Also is a very logical "completion" of 17 due to giving a very logical 2.3.5.13.17(.23)-subgroup interpretation of the sqrt(2).sqrt(3) subgroup with some really intriguing possibilities. If you're lacking in inspiration and its wide array of supported MOSSes aren't inspiration enough, try taking a look at the diaschismic-tetracot continuum ([[2048/2025]])<sup>n</sup> / ([[20000/19683]]).
* 34: The first good approximation of the 5-prime-limit due to being the first reasonably accurate tuning of [[Kleismic family|Hanson AKA kleismic]]. 19 is also a tuning for kleismic but feels like it doesn't do justice to the accuracy and pristineness of kleismic to me. Has the sharp 3/2's of 17 EDO, and as 17 EDO is a good colour system, 34 EDO is a natural extension. Also is a very logical "completion" of 17 due to giving a very logical 2.3.5.13.17(.23)-subgroup interpretation of the sqrt(2).sqrt(3) subgroup with some really intriguing possibilities. If you're lacking in inspiration and its wide array of supported MOSSes aren't inspiration enough, try taking a look at the diaschismic-tetracot continuum ([[2048/2025]])<sup>n</sup> / ([[20000/19683]]).
* 36: Because of being a superset of 12, quite overlooked. It is actually a very good subgroup temperament! A natural extension of 12 EDO's colour palette, preferring to avoid the neutral and semi- intervals of 24 EDO. I should note though that while both 24 and 36 are reasonably good systems, I do not think they should be used together, as there are preferable EDOs in the high end range, such as 80 EDO.
* 36: Because of being a superset of 12, quite overlooked. It is actually a very good subgroup temperament! A natural extension of 12 EDO's colour palette, preferring to avoid the neutral and semi- intervals of 24 EDO. I should note though that while both 24 and 36 are reasonably good systems, I do not think they should be used together, as there are preferable EDOs in the high end range, such as 80 EDO.