Finally it is an 11 perfect fts scale

To the tuning list,

Yesterday I proposed a 10 perfect fifths scale, now an eleven perfect fifths intonation is detailed below.

As before, the progression of musical cells helped to complete the set. Since I don´t have much experience on evaluations, hope that Michael, Steve Martin, Mike, Claudio Di Veroli and the remaining members of the list can evaluate this scale, I would appreciate it.

Eleven perfect fifths scale.

? Cell Nº .......................................................................................................................................................................... Major thirds

....0....C = 1..........................x 1.5 =1.5 ----------------- G ..................................................1.2486

46

.....46 C# = 1.053497942 x 1.5 = 1.580246913-- Ab....................................................1.2656

46

.....92 D = 1.109857914 x 1.5 = 1.664786871-- A......................................................1.2656

58

.....150 Eb = 1.185185185 x 1.5 = 1.777777777-- Bb..................................................1.2656

46

.....196 E = 1.248590153 x 1.5 = 1.872885230-- B.......................................................1.2656

58

......254 F = 1.333333333 x 1.5 = 2.000000000-- 2C........................................................1.2486

46

.....300 F# = 1.404663923 x 1.5 = 2.106995 / 2 = 1.053497942 .. C#........1.2656

58

......358 G = 1.5 ..........................................................................................................................................................1.2486

46

.....404 Ab =1.580246913 x 1.5 = 2.370370- / 2 = 1.185185185 ...Eb.......1.2656

46

.....450 A = 1.664786871 x 1.5 = 2.497180- / 2 = 1.248590153....E .......1.2656

58

..... 508 Bb =1.777777777 x 1.5 = 2.666666- / 2 = 1.333333333 ...F..........1.2486

46

..... 554 B =1.872885230 x 1.5 = 2.809327- / 2 = 1.404663923 ...F#........1.2656

58

.... 612 2C = 2 ....................... / 2 = 1

Thanks

Mario Pizarro

August 11

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On the surface, the Ab is sour but everything else (from the root) looks great.

But
1) Again, you have an unusable 5th around 1.48 from 1.5 to 1.1 on the next
octave.
2) You have a bunch of thirds around 1.2656. That's a massive 21 cents or so of
error which make it, in my mind, unusable.

So yes, you have a lot of perfect 5ths, but that makes most your thirds
unusable and makes the last fifth unusable. In fact it makes many more of the
thirds unusable than your last scale did.
My advice: try to keep most of the thirds at least under 1.257 or over 1.243
or so and make all the 5ths between about 1.49 and 1.515 (or allow a fifth or
two around 22/15 or 13/9...which really don't sound all that bad and certainly
much better than anything near 1.48).