Just Intervals?

[Susan Kline]

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Define just minor and major thirds, please. Beatless? And how do they 
compare to tempered minor and major thirds in size?

I hear that minor third (B-G#) as very small, and very pleasingly small, 
smaller than it would sound on a piano. Others, too, different than 
tempered, but on the opposite side from "just", i.e., minor thirds smaller, 
major thirds and major sixths wider.

Your spectral analyzer listens to the doublestopped intervals? Can you in 
some way measure successive tones in the melodic line -- i.e. how small is 
the G#-A semitone?

(thanks)

Susan

At 10:17 AM 5/8/2002 -0700, you wrote:
>Susan, thanks for choosing a specific example. I took the begining of the 
>piece and ran it through a spectral analysis so that I could extract each 
>of the fundemental frequiencies:
>
>
>This is the very first phrase (4 measures)
>
>B 
>A
>G#    A# G# F# E F# G# A           G# F# A G# F# E D# E F#     B
>
>
>B - G# =1.2
>B - A =1.16 (1.167)
>B - F# =1.38 (1.4)
>B - E = 1.5
>
>A - D# = 1.39 (1.4)
>A -E = 1.33
>A - F# = 1.19 (1.2)
>
>
>The intervals in (brackets) are the theoretically just intervals, 
>everything else hit dead on; that's why it sounds so pleasing. I don't 
>know what else to say . . . they are just intervals.
>
>Bradley M. Snook

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