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Some naming examples

🔗Gene Ward Smith <gwsmith@svpal.org>

7/3/2004 3:06:41 PM

Augmented

The 5-limit version of this, for comma 128/125, has only one poptimal
generator, sqrt(10/9). Hence if we use poptimal generator range to
define names nothing else will get the name. The 12&21 7-limit version,
"augie" or "august", has a top tuning which is quite different, and
closes at 33-equal for a poptimal version. Much closer to 5-limit
augmented in tuning is "tripletone" or "augene", which has a TOP
tuning not too different, and which closes poptimally at 27. 2^(2/27)
is 88.889 cents, sqrt(10/9) is 91.202 cents. Is this close enough for
the same name, or not? 2^(2/33) is 72.272, which is far afield. Paul's
solution of three distinct names seems reasonable

Orwell

The 5-limit version of this, "orson" according to Paul, has a poptimal
range which overlaps the 11-limit version, and in fact is almost
identical with it; 19/84 being a poptimal generator for both. The
7-limit version does not seem to overlap, but it isn't so far off that
19/84 is not a decent generator for it also, though it isn't
apparently poptimal, like 26/115. There are of course other versions
of orwell, but none which seem good enough to bother with. To me it
makes sense to name the 5, 7, and 11 limit versions all "orwell", but
I don't have a systematic way of making that call.

Mavila

135/128 closes poptimally at everyone's favorite equal temperament,
23. The 7-limit temperament with comma basis 15/14 and 64/63 shares a
common poptimal generator in (10/3)^(1/4), but the 7-limit
approximation involved is pretty hairy. Other temperaments with a
common poptimal generator would add 729/700 or 126/125 to 135/128, but
now the temperament has a high badness score. 27/62 or 37/85 give a
common poptimal generator for the 135/128 and 126/125 temperament,
which has wedgie <<1 -3 -11 -7 -20 -17||. Maybe Herman will be
inspired enough by the 16 note MOS for this to tune it up, and see if
it sounds like mavila to him.