monz diesis definition

definition #4 at http://www.ixpres.com/interval/dict/diesis.htm
should mention that 648:625 is called the 'major diesis', and 250:243
the 'maximal diesis', according to

http://www.xs4all.nl/~huygensf/doc/intervals.html

(aren't these from ellis? manuel, do you recall where you got these
from)?

also,

525:512 was called the 'enharmonic diesis' by avicenna, according to

http://home.earthlink.net/~kgann/Octave.html

> From: paulerlich <paul@stretch-music.com>
> To: <tuning@yahoogroups.com>
> Sent: Friday, March 01, 2002 4:36 AM
> Subject: [tuning] monz diesis definition
>
>
> definition #4 at http://www.ixpres.com/interval/dict/diesis.htm
> should mention that 648:625 is called the 'major diesis', and 250:243
> the 'maximal diesis', according to
>
> http://www.xs4all.nl/~huygensf/doc/intervals.html
>
> (aren't these from ellis? manuel, do you recall where you got these
> from)?

this labeling of these intervals is n o t from Ellis, at
least not from his translation of Helmholtz's book (it's
possible that they appear in another paper by Ellis).
these ratios are not listed in his "Table of Intervals".

my guess is that the names came from Fokker. Manuel?

-monz

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> definition #4 at http://www.ixpres.com/interval/dict/diesis.htm
> should mention that 648:625 is called the 'major diesis', and 250:243
> the 'maximal diesis', according to

> my guess is that the names came from Fokker. Manuel?

I thought so too, but I can't find a reference for 250/243 at
the moment. Sauveur had called it "semiton sous minime".
An easy rule to remember is that the minor diesis (also called
enharmonic diesis) comes from the major third and the major
diesis from the minor third.
Fokker named 49/48 the "slendro diesis".
He also called 50/49 a diesis. Paul and I called it "Erlich's
decatonic comma" after which I added the name "tritonic diesis"
because it's the difference between the two septimal tritones.

Manuel