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re: scale derived by intersection of sets

🔗"Bob Lee" <quasar@...>

9/22/1998 8:19:15 AM
Robin Perry wrote:
>The intersection of these two is:
>
>1/1 9/8 6/5 5/4 4/3 3/2 8/5 5/3 12/7 7/4 9/5 15/8 2/1
>
>or, if you're like me, you might prefer more conventional notation:
>
>A B C+ C#- D E F+ F#- F#++ G-- G+ G#- A
>
>The pluses and minuses represent 15 cents each, and are a modification
>to the standard 12 note equal temperament. I use this system on a
>guitar I had re-fretted (more about the guitar another time.)

I found it interesting that most of these intervals are available in the
standard E9th pedal steel tuning. See
http://www.b0b.com/infoedu/just_e9.html . The missing intervals are 8/5,
12/7 and 7/4. The 8/5 is not totally absent however - good steel players
hit it by ear when they engage the first pedal (which raises 3/2 to 5/3)
half way.

That leaves the 12/7 and 7/4. Can you form beatless harmonies with these
and other notes of the scale? I'm having a hard time imaging their use,
maybe because I'm basically a 5-limit player.

-b0b-