Frequency ratio: Difference between revisions

Line 20:

In the context of just intonation, ratios are almost always used to label and identify intervals and chords. However, the use of ratios to identify intervals and chords in tempered scales is also common - in these cases, it is implied that the notes are in the ''approximate'' ratio indicated. For example, a common shorthand expression might be "4:6:7:9:11 chords in [[17edo]]", which really means "the chords in which the notes are in the approximate ratio of 4:6:7:9:11 in 17edo".

== Conversion ==

=== Cents to ratio ===

To convert an interval of ''s'' [[cent]]s to ratio ''c'', apply

<math>\displaystyle c = 2^{s/1200}</math>

=== Monzo to ratio ===

To convert an interval of [[monzo]] '''m''' = {{monzo| m1 m2 m3 … }} to ratio ''c'', apply

<math>\displaystyle c = 2^{m_1} \cdot 3^{m_2} \cdot 5^{m_3} \ldots </math>

[[Category:Ratio| ]]

[[Category:Notation]]

[[Category:Terms]]

@@ Line 20: / Line 20: @@
 In the context of just intonation, ratios are almost always used to label and identify intervals and chords. However, the use of ratios to identify intervals and chords in tempered scales is also common - in these cases, it is implied that the notes are in the ''approximate'' ratio indicated. For example, a common shorthand expression might be "4:6:7:9:11 chords in [[17edo]]", which really means "the chords in which the notes are in the approximate ratio of 4:6:7:9:11 in 17edo".
+== Conversion ==
+=== Cents to ratio ===
+To convert an interval of ''s'' [[cent]]s to ratio ''c'', apply
+<math>\displaystyle c = 2^{s/1200}</math>
+=== Monzo to ratio ===
+To convert an interval of [[monzo]] '''m''' = {{monzo| m<sub>1</sub> m<sub>2</sub> m<sub>3</sub> … }} to ratio ''c'', apply
+<math>\displaystyle c = 2^{m_1} \cdot 3^{m_2} \cdot 5^{m_3} \ldots </math>
 [[Category:Ratio| ]] <!-- main article -->
 [[Category:Notation]]
 [[Category:Terms]]