Topmusicanswers
- Why is an octave divided into 12?
- What is a system where an octave is divided into 12 equal parts?
- How the frequencies of the notes in a 12 tone scale are related to one another?
- What is the difference between just and equal temperament?
Why is an octave divided into 12?
The idea behind twelve is to build up a collection of notes using just one ratio. The advantage to doing so is that it allows a uniformity that makes modulating between keys possible.
What is a system where an octave is divided into 12 equal parts?
Twelve-tone equal temperament is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 ( 12√2 ≈ 1.05946). ... Twelve-tone equal temperament is the most widespread system in music today.
How the frequencies of the notes in a 12 tone scale are related to one another?
The frequencies 440Hz and 880Hz both correspond to the musical note A, but one octave apart. The next higher A in the musical scale would have the frequency 1760Hz, twice 880Hz. In the western musical scale, there are 12 notes in every octave.
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Musical scale.
| A | 440 |
|---|---|
| B | 494 |
| C | 523 |
| C sharp | 554 |
| D | 587 |
What is the difference between just and equal temperament?
The "Just Scale" (sometimes referred to as "harmonic tuning" or "Helmholtz's scale") occurs naturally as a result of the overtone series for simple systems such as vibrating strings or air columns. ... The equal tempered system uses a constant frequency multiple between the notes of the chromatic scale.
