back to list

5-limit mapping of standard pentachordal major

🔗D.Stearns <STEARNS@CAPECOD.NET>

5/6/2000 9:30:59 PM

Hey Paul,

I was just looking for something in an old post of mine - this closed
10-tone, 12-tET augmented set:

09
/ \
/ \
/ \
08----- 03------10------05------12
/ \ / \ / \ /
/ \ / \ / \ /
/ \/ \/ \/
04------11------06------01
/
/
/
00

when it suddenly dawned on me that this is also a 5-limit mapping of
your standard pentachordal major if it were spelled C Db D E F F# G A
A# B and the 2025/1024 was ignored:

225/128
/
/
/
5/3-----5/4----15/8----45/32
/ \ / \ / \ /
/ \ / \ / \ /
/ \ / \ / \ /
4/3-----1/1-----3/2-----9/8
/
/
/
16/15

I haven't looked at your paper in quite a while now, so I can't quite
seem to remember if you referenced this or not.

Dan