RE: 4/5/6/7

>One thing I am interested in but have not yet developed is a conceptual
>system (with notation that captures it) of the use of 7 in a tonal-modal
>framework widely defined which nonetheless differs significantly from the
>usual 3x5 uses. If anyone else comes up with such, it should be worth
>examination.

Actually, Martin Vogel has devoted considerable energy to this very task.
Harold and Jose, I should mention him as a reference to you. See "On the
Relations of Tone," which I discussed a bit in a previous tuning digest.
Just as 5-limit systems are simpler to conceptualize and notate in some
tunings (such as 19) than others (such as 34), so 7-limit systems may take
on very different forms depending on the tuning used (22, 27, 31). This is
something outside of Vogel's scope, and something that I have some ideas
about, and Harold may as well. See my post about commas, for instance.


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