Re: periodicity blocks

I wrote

>>PS. Despite my mentioning of the 21st and 27th identies I have ear tested
>>them and prefer the 11th and 13th harmonics in these circumstances.
>>So I
>>will probably venture further north and south and further north east and
>>south west in my periodicity blocks [ie more 5 and 7 less 3]

and Paul wrote.

>11 and 13 are distinct primes and you'll never get them by combining any
>number of 5s and 7s. So perhaps we should look at 13-limit periodicity
>blocks -- or did I misunderstand you?

Yes I do realise that the 11 and 13 primes require additional dimensions.

What I was saying was that as well as exploring 11 and 13. I would like to
emphasize 5 and 7 and lessen the emphasis on 3.

Chains of fifths have been done to death in 12tet. It's not my wish to redo
in just intonation what can be done in 12tet with only 2 cents difference.

Paul also wrote

>By the way, on a guitar, there are additional great advantages to using
>equal temperaments -- same notes appear on all strings and frets go
straight
>across . . . .

My frets will go straight across in JI too. I always tune my open strings
to a chord [these will contain the transpositions I want to use]
I feel that having fretlets is no problem either. And if you don't have
fretlets not having the same notes on all strings is is only a conceptual
barrier brought about by 12tet thinking [it's not wrong it's just
different.]

I think 13 limit periodicity blocks would be well worth examining.

Justin White