User:Romeolz/Isomorphic layouts/Harmonic Table extensions: Difference between revisions

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= Harmonic Table-ish extensions =
= Harmonic Table-ish extensions =
These are all the extensions outside "pure HT", which is the mappings where 3/2 and 5/4 are next to the origin like in 12edo HT.
These are all the extensions outside of "pure HT", the way HT works in 12edo.


== Alternate thirds ==
== Alternate thirds ==
This encompasses all HT extensions where 5/4 and 6/5 are replaced with some other type of "third", like 9/7 and 7/6, or 16/13 and 39/32. The definition of a "third" is nebulous, so I'm using it to refer to intervals between 240 and 460 cents, depending on context.
This encompasses all HT extensions where 5/4 and 6/5 are replaced with some other type of "third", like 9/7 and 7/6, or 16/13 and 39/32. The definition of a "third" is nebulous, so I'm using it to refer to intervals between 240 and 460 cents.


=== Semaphore/Barbados ===
=== Semaphore/Barbados ===
By splitting the fourth in half we get an interval of about 249 cents. This can be interpreted in many ways, as 7/6, or 15/13, or many others.
By splitting the fourth in half we get an interval of about 249 cents. This can be interpreted in many ways, as 7/6, or 15/13, or many others. Using this unlocks more tunings for use, like 24, which are otherwise incompatible with HT.
[[File:"HT" (4-3)^(1-2).png|none|thumb|600x600px|An even smaller octave than the augmented layout!]]
[[File:"HT" (4-3)^(1-2).png|none|thumb|600x600px|An even smaller octave than the augmented layout!]]