Semitones and Cents----FL Studio

[fonny-wuz-here]

What are the differences, i know semi-tones are larger but by what ratio to cents?

 

[bandcoach]

a cent is 100th of semitone, so there are 1200 cents in an octave.

The cent as a ratio to the semitone is something like ([sup]12[/sup]√2)/100, which is something like 0.01059 of the frequency.

Shift the pitch up by 3 cents you are going to do the following (assume Concert A = 440 Hz)

440 Hz + (440 Hz x 0.01059) + (440 Hz x 0.01059) + (440 Hz x 0.01059)

440.00000 Hz x
000.01059
==========
004.66164 Hz
==========

so we get

440.00000 Hz +
004.66164 Hz +
004.66164 Hz +
004.66164 Hz
===========
453.98492 Hz
===========

If were to Work with C = 256 Hz (a rough approximation so that the numbers will work quickly), the arithmetic this time would be

256 Hz + (256 Hz x 0.01059) + (256 Hz x 0.01059) + (256 Hz x 0.01059)

256.00000 Hz x
000.01059
==========
002.71223 Hz
==========

so we get

256.00000 Hz +
002.71223 Hz +
002.71223 Hz +
002.71223 Hz
===========
263.13669 Hz
===========

If were to work with E = 1319 Hz (a rough approximation so that the numbers will work quickly), the arithmetic this time would be

1319 Hz + (1319 Hz x 0.01059) + (1319 Hz x 0.01059) + (1319 Hz x 0.01059)

1319.00000 Hz x
0000.01059
==========
0013.97432 Hz
==========

so we get

1319.00000 Hz +
0013.97432 Hz +
0013.97432 Hz +
0013.97432 Hz
===========
1360.92296 Hz
===========

This should demonstrate that the ratio of cents to a semitone does not equate to a fixed frequency, but rather to a sliding freq depending on the initial freq.

 

[Xabiton]

100 cents equal 1 semi tone which equals one note on a keyboard meaning the distance between C and C# is 100 cents or 1 semi tone.