[tuning-math] Re: Modulatoy topology in 22-TET
- From: "hs" <straub@xxxxxxxxxxx>
- To: tuning-math@xxxxxxxxxxxxxxx
- Date: Wed, 3 Jul 2002 13:24:09 +0200
>> >thanks, hans! this topology is already implied in the appendix to my
>> >paper, isn't it? just roll the page around so that the bottom meets
>> >the top, and you have it!
>>
>> Oops - looks like I should get the habit of readiong reports to
>their _very_
>> end...
>
>you can also see in that diagram how the *symmetrical* modes fit
>nicely into the overall modulatory topology -- see it?
Errm... After having a closer look at the diagrams, I think not. The diagram
axes are fifth, major third and harmonic seventh: I see no hint that the
easiest modulation steps are semitone and tritone.
The dimension of the whole diagram has no importance in this aspect - in
ET12, you probably can find chord systems with easiest modulation steps
4 and 3 (I already found one with 4).
Or maybe there is a way of looking at the diagrams I havn't found yet?
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