Frequency ratio: Difference between revisions

Line 7:

A '''frequency ratio''' (often shortened to '''ratio''') is the relationship between the frequencies of the [[pitch]]es of two or more notes. For example, a piano string vibrating at 110 Hz (110 times per second) and a piano string vibrating at 220 Hz are in a 2:1 ratio (since 220/110 reduces to 2/1).

All [[interval]]s can be expressed as ratios, and they can be rational or irrational. Although mostly written in the form ~~<code>~~larger/smaller~~</code>~~ throughout this wiki, they may be written in several ways:

All [[interval]]s can be expressed as ratios, and they can be rational or irrational. Although mostly written in the form ''larger''/''smaller'' throughout this wiki, they may be written in several ways:

* 2/1, 2:1, 1/2, 1:2 for the [[octave]];

* 3/2, 3:2, 2/3, 2:3 for the [[3/2|just perfect fifth]].

* 2/1, 2:1, 1/2, 1:2 ([[octave]])

When the larger number is written first (''note''/''base''), this usually signifies a note being played ''above'' some base tone (perhaps the starting note of a scale). When the smaller number is written first (''base''/''note''), this usually signifies the note being played ''below'' that base tone.

* 3/2, 3:2, 2/3, 2:3 ([[3/2|just fifth]])

When the larger number is written first (~~<code>~~note/base~~</code>~~), this usually signifies a note being played ''above'' some base tone (perhaps the starting note of a scale). When the smaller number is written first (~~<code>~~base/note~~</code>~~), this usually signifies the note being played ''below'' that base tone.

[[Chord]]s with three or more notes can also be expressed as ratios. For example, the just intoned major triad in root position is 4:5:6. Chords can also be written as a string of intervals, such as 1/1–5/4–3/2. (4:5:6 can be viewed as a shorthand for 4/1:5/1:6/1 or 4/4:5/4:6/4).

@@ Line 7: / Line 7: @@
 A '''frequency ratio''' (often shortened to '''ratio''') is the relationship between the frequencies of the [[pitch]]es of two or more notes. For example, a piano string vibrating at 110 Hz (110 times per second) and a piano string vibrating at 220 Hz are in a 2:1 ratio (since 220/110 reduces to 2/1).
-All [[interval]]s can be expressed as ratios, and they can be rational or irrational. Although mostly written in the form <code>larger/smaller</code> throughout this wiki, they may be written in several ways:
+All [[interval]]s can be expressed as ratios, and they can be rational or irrational. Although mostly written in the form ''larger''/''smaller'' throughout this wiki, they may be written in several ways:
+* 2/1, 2:1, 1/2, 1:2 for the [[octave]];
+* 3/2, 3:2, 2/3, 2:3 for the [[3/2|just perfect fifth]].
-* 2/1, 2:1, 1/2, 1:2 ([[octave]])
+When the larger number is written first (''note''/''base''), this usually signifies a note being played ''above'' some base tone (perhaps the starting note of a scale). When the smaller number is written first (''base''/''note''), this usually signifies the note being played ''below'' that base tone.
-* 3/2, 3:2, 2/3, 2:3 ([[3/2|just fifth]])
-When the larger number is written first (<code>note/base</code>), this usually signifies a note being played ''above'' some base tone (perhaps the starting note of a scale). When the smaller number is written first (<code>base/note</code>), this usually signifies the note being played ''below'' that base tone.
 [[Chord]]s with three or more notes can also be expressed as ratios. For example, the just intoned major triad in root position is 4:5:6. Chords can also be written as a string of intervals, such as 1/1–5/4–3/2. (4:5:6 can be viewed as a shorthand for 4/1:5/1:6/1 or 4/4:5/4:6/4).