Unlike all the rest of the equal-tempered scale, octaves are easy, just
divide by half or multiply by two (or multiples thereof). If it's thirds
and fifths and all that, it gets a bit more complicated unless you are
into just intonation where the ratios are actually the ratios and
haven't been "t(a/e)mpered" with (by setting up logarithmic
relationships inside the octave rather than across the whole range of
notes.)
http://en.wikipedia.org/wiki/Mathematics_of_musical_scales
http://en.wikipedia.org/wiki/List_of_meantone_intervals
http://en.wikipedia.org/wiki/Just_intonation
For myself, using the just intonation ratios just works because it's
simpler math. However, like Andrew I'm not sure beyond this simple
advice what it is you're exactly trying to do. So hope this helps... Any
actual lettered students of tuning systems feel free to kick me, I'm a
mere dilettante in this world...
best!
D.
J bz wrote:
Dear all,
I have five chimes. I've worked out the frequencies (using Audacity) of
the 5 strongest partials of each chime. I now want to be able to work
out how to change the octaves of the various partials? My original
intention was to find the nearest midinote and just use those but after
listening to the results I would much prefer to keep the original
ratio's whilst being able to alter the 'inversions'.
Here's the list that I have already:
BT1
912Hz
2434Hz
4575Hz
7175Hz
11584Hz
BT2
1081Hz
2861Hz
5339Hz
8325Hz
15209Hz
BT3
1211Hz
3196Hz
5935Hz
9199Hz
15206Hz
BT4
1347Hz
3553Hz
6569Hz
10128Hz
18139Hz
BT5
1812Hz
4699Hz
8525Hz
13264Hz
15469Hz
Is there one piece of mathematrical wizardy that can sort this in Pd?
Cheers,
Jbz
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