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RE: Clearer

🔗"Paul H. Erlich" <PErlich@...>

1/12/1998 7:04:21 PM
Carl, I like your suggestions on the sentences comparing 7-limit
temperaments to 5-limit 12-equal. I encourage you to change those in
your .pdf version of the paper (which already looks good).

}I'm with you on the need for a generalized diatonic scale, but I missed
the
}definition. I don't see why a fifth is ever anything but the fifth
degree
}of a scale. The tritone isn't part of the "unaltered diatonic" scale,
so I
}can't see how it can be a type of 5th or 4th degree in that scale.

A 5th or 4th does not have to occur between the tonic and another scale
degree. The interval between the 4th and 7th in a major key is an
>augmented fourth.
>
>}How do you define dissonace, as in "characteristic dissonance", at a given
>}odd limit? An interval whose ratio involves odd numbers (after factors of
>}two are taken out) bigger than the limit?
>
>Yes, I thought my paper made that clear.


SMTPOriginator: tuning@eartha.mills.edu
From: "Paul H. Erlich"
Subject: RE: Tritone ratios
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