MUIC & ACOUTIC – CALE, TUNING & TEMPERAMENT CALCULATOR
Microtonal Interval
A precise tool.
What is the Microtonal Interval & How does it work?
A microtonal interval is a musical interval smaller than the smallest step of a standard Western scale, such as the half step in twelve-tone equal temperament. These intervals are often used in various forms of music to create unique and complex harmonies.
text{cents} = 1200 times log_2(frac{f_2}{f_1})
cents = interval in cents, f_1 = frequency of the first note, f_2 = frequency of the second note
In music and acoustics, understanding microtonal intervals is crucial for composers and musicians who wish to explore beyond the traditional twelve-tone scale. These intervals can be calculated using logarithmic relationships between frequencies.
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Frequently Asked Questions
What is a microtonal interval?
A microtonal interval is a musical interval smaller than the smallest step in a standard Western scale, used to create complex and unique harmonies.
How do I calculate a microtonal interval in cents?
To calculate a microtonal interval in cents, use the formula: cents = 1200 × log₂(f₂/f₁), where f₁ is the frequency of the first note and f₂ is the frequency of the second note.
Why are microtonal intervals important in music?
Microtonal intervals are important because they allow for more nuanced and complex harmonies, expanding the expressive capabilities of music beyond traditional scales.
Can you give an example of when to use this calculator?
This calculator is useful when a composer wants to explore non-traditional intervals between notes in their composition or when tuning instruments to specific microtonal scales.
What does the term ‘cents’ mean in music?
In music, a cent is a unit of measure for musical intervals, where one cent is equal to 1/100 of a semitone in twelve-tone equal temperament.
Results are for informational purposes only and do not constitute professional advice.