Programmer Guide/Command Reference/EVAL/hz2cent: Difference between revisions

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''fac'' * log<sub>10</sub>(''x''<sub>i,j</sub> / ''ref'')
''fac'' * log<sub>10</sub>(''x''<sub>i,j</sub> / ''ref'')
::*'''cent2hz''': ''r''<sub>i,j</sub> = ''ref'' * 2 ^ ((''x''<sub>i,j</sub> - ''ofs'') / 1200)
::*'''cent2hz''': ''r''<sub>i,j</sub> = ''ref'' * 2 ^ ((''x''<sub>i,j</sub> - ''ofs'') / 1200)
;See also: [[../hz2mel|hz2mel, mel2hz]], [[../hz2erb|hz2erb, erb2hz]], [[../hz2bark|hz2bark, bark2hz]], [[../hth|hth]], [[../log2lin|lin2log, log2lin]]


;See also: [[Programmer_Guide/Command_Reference/EVAL/hz2mel|hz2mel, mel2hz]], [[Programmer_Guide/Command_Reference/EVAL/hz2erb|hz2erb, erb2hz]], [[Programmer_Guide/Command_Reference/EVAL/hz2bark|hz2bark, bark2hz]], [[Programmer_Guide/Command_Reference/EVAL/hth|hth]], [[Programmer_Guide/Command_Reference/EVAL/log2lin|lin2log, log2lin]]
[[../#Functions|<function list>]]




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#cent2 := eval 1200 * ld($#hz / 440) // this is a the same as #cent1
#cent2 := eval 1200 * ld($#hz / 440) // this is a the same as #cent1
</pre>
</pre>
[[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]]

Revision as of 10:52, 21 April 2011

Convert the elements of x from Hertz to Cent and vice versa.

Usage
hz2cent(x {, ref {, ofs}})
log2lin(x {, ref {, ofs}})
x
a scalar, vector or matrix
ref
the reference frequency in Hz; must be a positive number (default=440)
fac
a shift value in Cent; must be a number (default=0)
Result
The result r has the same type as x and contains the converted elements of x. The following conversion algorithms are used:
  • hz2cent: ri,j = 1200 * log2(xi,j / ref) + ofs

fac * log10(xi,j / ref)

  • cent2hz: ri,j = ref * 2 ^ ((xi,j - ofs) / 1200)
See also
hz2mel, mel2hz, hz2erb, erb2hz, hz2bark, bark2hz, hth, lin2log, log2lin

<function list>


Example:

#hz  := eval vv(100, 200, 440, 880)
#cent1 := eval hz2cent($#hz)
#cent2 := eval 1200 * ld($#hz / 440) // this is a the same as #cent1

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