"12-equal" octaves with *all* beats synchronized

these examples show the "obvious" approach i was talking about . . .

this one's all multiples of 1Hz -- all you have to do is round the standard Hz to the nearest integer:

F 349

F# 370

G 392
G# 415
A 440
A# 466
B 494
C 523
C# 554
D 587
D# 622
E 659

cents:

101.158
201.152
299.861
401.132
500.524
601.541
700.301
799.991
900.160
1000.426
1100.462
1200

here's one that will produce even stronger synchrony when transposed to a middle register:

116

123
130
138
146
155
164
174
184
195
207
219

cents:

101.440
197.264
300.652
398.212
501.772
599.485
701.955
798.697
899.219
1002.607
1100.167
1200

this one will really get your juices flowing:

85
90
95
101
107
113
120
127
135
143
151

starting from the 90, here are cents::

93.603
199.630
299.537
393.991
498.045
596.198
701.955
801.622
895.862
996.090
1101.045
1200

manuel, am i missing something here?

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Paul wrote:
>manuel, am i missing something here?

Well, what I meant was that you can't do that and
keep the beat rate quotients the same integer. In these
scales they're all integer, but not the same.
When you carefully choose a fundamental (with fit/harmonic
for example) you can keep more the same than with
just rounding the frequency in Hz to the nearest
integer, but maybe only about half of them.

Manuel