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103169

🔗Gene Ward Smith <genewardsmith@coolgoose.com>

8/25/2006 2:43:23 PM

Things are a little slow, so I'm using that as an excuse for this
article.

Here's the 7-limit TM basis for 103169:

[<9 -28 37 -18|, <-92 -17 21 25|, <110 -71 -11 10]|]

Here are the five top linear temperaments, and Kees badness:

1: <1303 1006 41 -1431 -3593 -2729| 8.554668
2: <172 1558 2935 2070 4169 2441| 30.162505
3: <3091 407 1760 -6532 -5888 2944| 33.035387
4: <1475 2564 2976 639 576 -288| 33.469114
5: <1788 -599 1719 -5101 -2295 5673| 34.300625

The first one is pretty remarkable from a logflat badness point of
view, as it is comparable to ennealimmal. In fact, it has a slightly
lower Kees badness, so I think we could call it ennbuster, or could if
there was an actual point to it.

Here are some comparisons of ennbuster vs ennealimmal:

Kees: 8.55-9.84
RMS: 16.69-33.46
TOP L-inf: 4.28-4.92
TOP L1: 52.67-57.71
7-limit Graham: 10.75-26.52
9-limit Graham: 42.98-47.14

Ennbuster is consistently lower than ennealimmal in terms of logflat
badness, though not necessarily by very much. If someone wants to tune
up a 1905 note MOS, I say go for it.