Collection of EDO impressions: Difference between revisions

: '''Fumica:''' Potentially useful as every other step of [[32edo]] or every third step of [[48edo]]. Besides that, it has armodue, basically an extremely flat fifth that doesn't sound like the 3rd harmonic at all. "Fifthiness" is pointless if not for approximating the 3rd harmonic, so I'm afraid I don't consider this approach to have much value. D-tier.

: '''Fumica:''' Potentially useful as every other step of 50edo. D-tier.

: '''Fumica:''' The idea of adding sixth tones to plain 12edo music is interesting, but none of my attempts have been successful as I generally find them to sound forced. I think this edo is more difficult to use than it appears. C-tier.  

: '''Fumica:''' Potentially useful as every other step of [[74edo]] or every third step of [[111edo]]. Besides that, it has a good 2.5.7.11.13 [[subgroup]] interpretation, tho I have no idea how harmony in this subgroup is supposed to work. D-tier.  

: '''Fumica:''' The first of the five essential comma-level edos, and the first edo to achieve [[9-odd-limit]] [[distinction]] and [[consistency]]. This is most significant for providing three flavors for each [[chromatic]] category: classical, Pythagorean, and septimal. In this case it is a [[schismic]] and [[garischismic]] system, so that all three kinds are separated by the same [[comma]] step and can be found on a stack of fifths. The comma step is somewhat larger than just, making the differences more pronounced, which is part of why I think this edo is pretty deep – the step isn't only a comma, but many things at once, including but not limited to the [[septimal diesis|septimal dieses]], as well as the chroma of the [[archaeotonic]] scale, the scale of [[Tetracot]][7]. The best [[subgroup]] of this edo is, actually, 2.3.5.7.11.19. [[Prime]] [[13/1|13]] is certainly plausible, but prime [[19/1|19]] fits way better. There's a unique uniform tuning for the [[harmonic segment]] 18::22, a fact related to the vanish of [[S-expression|s10]] = [[100/99]] and [[S-expression|s9/s11]] = [[243/242]]. The beauty of this edo goes even beyond the structure, but also to the intonation: it has a very slightly sharp 3 and a more noticeably flat 5, making a flat, more stable 15; that is ideal for my music. Finally, it's an ideal tuning for the [[magic]] temperament. I can't compliment it enough. S-tier.  

: '''Zhenlige:''' Prime octave and highly composite fifth, opposite from [[12edo]], thus good for fifth-dividing temperaments. Containing [[Bohlen-Pierce scale]]. Good for magic. The [[Kite guitar]] shows its elegance, with many simple intervals evenly spaced. Also [[garibaldi]] and [[miracle]]. The largest problem is its relatively inaccurate [[5/1|5]]. From here on, most EDOs with good [[13-limit]] [[support]] [[akea]].

: '''Fumica:''' The fourth essential comma-level edo. Being the first edo with full [[11-odd-limit]] [[distinction]], this one is easily adorable. Whereas [[41edo]] tunes the fifth to 24 steps, this edo tunes the fourth to 24 steps, and the implication is its 2.3.5.7.13.29 [[subgroup]] is analogous to 41edo's 2.3.5.7.11.19 subgroup. This edo is best as a 2.3.5.7.11.13.29-subgroup system, but it has more to offer. Specifically, the [[harmonic]]s [[19/1|19]] and [[23/1|23]] in the 58hi [[val]] are surprisingly convincing, and although the [[17/1|17]] doesn't blend quite well it at least looks good on paper. Everything considered, it is virtually the first full [[23-limit]] system. All that bugs me is the minor fact that [[11/8]] and [[7/5]] are tuned too close to each other, only one comma apart. A-tier.