# How do I to calculate note's frequency using no intervals? [closed]

To calculate frequency of a note you should know the amount of semitones between the note and A4.

2x/12 * ffixed = fgiven

where:
x – is the quantifier, based on amount of semitones between given note and fixed one (`A4`);
ffixed – is the frequency of fixed note (~A4 = 440 Hz);

For example, since `C4` is nine semitones lower than `A4`, the quantifier for it will be `-9`.

So, whether it is possible to calculate its frequency without knowing of this interval? Is there any other frequency-of-a-pitch equation that doesn't use intervals in it?

• I have no idea, how you want to specify the tone for which you want the frequency if not counting to some reference. You could use a MIDI mapping from note number to frequency but even MIDI counts semitones. – guidot Mar 21 '16 at 12:41
• What problem are you trying to solve? Is this an XY problem? meta.stackexchange.com/questions/66377/what-is-the-xy-problem – Dave Mar 21 '16 at 13:47
• There are no inherent mathematical properties in the letters A-G that can enable them to be translated to frequencies without the use of a constant. The letter assignments are completely arbitrary; thus you need some kind of constant to define them — 440 Hz. Your equation makes use of the number 12, so you clearly have the ability to define a constant value in your equation; if all you're trying to do is create a function definition f(p) where p is the pitch, the frequency of which is being calculated, then this is really an algebra question. – NReilingh Mar 21 '16 at 13:47
• I do think this is an XY problem, frankly. What are you trying to accomplish by answering this question? Are you just having trouble translating note names into numeric values? – NReilingh Mar 21 '16 at 17:48
• The answer to your question as written is "No, it's not possible." This is because a pitch->frequency conversion actually requires a second argument that defines the tuning system in use. When you omit this, we assume that the tuning system will be 12-tone equal temperament at A=440Hz, and so this information must be embedded in your formula as constants. – NReilingh Mar 21 '16 at 18:18