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Hexachords in 12t-ET

🔗Paul G Hjelmstad <paul.hjelmstad@us.ing.com>

4/7/2006 2:04:02 PM

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FUN HEXACHORD FACTS:

Of the 50 hexachord Tn/TnI types

4 can be found using only white keys
25 can be found using 1 black and 5 white keys
21 can be found using 2 black keys and 4 white keys

Of the 80 total hexachord types:

6 can be found using only white keys
46 can be found using 1 black key and 5 white keys
28 can be found using 2 black keys and 4 white keys

Of the 35 hexachord-partitions (which is also the count based
on interval vectors)

4 can be found using only white keys (in the partition that uses
the least amount of black keys)

20 can be found using 1 black key and 5 white keys (in the "lowest"
partition)

11 can be found using 2 black keys and 4 white keys (in the "lowest"
partition)

Not exactly a tuning subject, but kind of interesting...

Paul