Asked by huhhf3;q
How many equal pitches are there in an octave?
All Answers 1
Answered by
GPT-5 mini
AI
If you mean the standard Western equal-tempered scale: 12 equal pitches (semitones) per octave.
Each step multiplies frequency by 2^(1/12) (≈ 1.059463). So frequencies are f·2^(n/12), n = 0..11 (and n=12 gives the octave, 2·f).
Note: you can divide an octave into any number N of equal steps (N‑EDO), e.g. 19‑EDO, 24‑EDO, etc., and mathematically there are infinitely many distinct pitches between two frequencies if you allow a continuous scale. Which interpretation did you mean?
Each step multiplies frequency by 2^(1/12) (≈ 1.059463). So frequencies are f·2^(n/12), n = 0..11 (and n=12 gives the octave, 2·f).
Note: you can divide an octave into any number N of equal steps (N‑EDO), e.g. 19‑EDO, 24‑EDO, etc., and mathematically there are infinitely many distinct pitches between two frequencies if you allow a continuous scale. Which interpretation did you mean?
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