User:Romeolz/Isomorphic layouts/Harmonic Table extensions: Difference between revisions
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alternate sixths + other small stuff |
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= Harmonic Table-ish extensions = | = Harmonic Table-ish extensions = | ||
These are all the extensions outside of "pure HT", the way HT works in 12edo. | These are all the extensions outside of "pure HT", the way HT works in 12edo. We can replace the fifths and thirds with other intervals that are closely related harmonically. | ||
"Why such few temperaments? Where is meantone?" | |||
A prerequisite for a HT-ish layout is that a single octave is reachable using some combination of the two chosen harmonically close intervals. Using meantone we can only reach the double-octave. (this probably has something to do with the monzos of the intervals and commas but I don't know how yet) | |||
== Alternate thirds == | == Alternate thirds == | ||
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Orwell offers good approximations of even 11-limit intervals, using its generator of about 272 cents to split 3/1 into seven. The generator can be interpreted as 7/6. | Orwell offers good approximations of even 11-limit intervals, using its generator of about 272 cents to split 3/1 into seven. The generator can be interpreted as 7/6. | ||
[[File:"HT" (3-1)^(1-7).png|none|thumb|600x600px|A powerful temperament for even 11-limit just intonation, but the layout is quite spread apart...]]To be continued... (alternate sixths etc., fourths, hemififths...) | [[File:"HT" (3-1)^(1-7).png|none|thumb|600x600px|A powerful temperament for even 11-limit just intonation, but the layout is quite spread apart...]]To be continued... (alternate sixths etc., fourths, hemififths...) | ||
== Alternate sixths (related but not necessarily part of HT) == | |||
Using sixths instead of thirds has the effect that thirds are shifted towards lower octaves. These can resemble layouts akin to Lumatone's "Melodic Mode", with a clear albitonic scale. | |||
=== Semaphore/Barbados (again) === | |||
This one is strange, the 951 cent interval derived from splitting 3/1 in half can be interpreted as 7/4, 12/7, 26/15 and many others. It's bordering on being a seventh, but it works because the interval one fifth up from it still sounds like a tenth. | |||
[[File:"HT" (3-1)^(1-2).png|none|thumb|600x600px|The smallest possible octave! The range on this one is huge...]] | |||
=== Porcupine === | |||
Porcupine is a powerful 11-limit system with a distinctive sound. Here, with a pure 3/1, the sixth is quite flat at 868 cents. | |||
[[File:"HT" (9-2)^(1-3).png|none|thumb|600x600px|aghsdjfkhdfgasd]] | |||
=== Negri === | |||
A coooooooooooooool temperament?? I don't want to type these out anymore | |||
[[File:"HT" (27-4)^(1-4).png|none|thumb|600x600px|abcdefg]] | |||
=== Blackwood === | |||
i love blackwood 10 | |||
[[File:"HT" (243-16)^(1-5).png|none|thumb|600x600px|heyy this one's pretty neat it splits the octave into 5]] | |||
=== I don't even know what this one is but it has a good 11/7 lol === | |||
yea | |||
[[File:"HT" (243-16)^(1-6).png|none|thumb|600x600px|i've had enough for now]] | |||
ok | |||