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2. Scientific pitch notation - Wikipedia

   en.wikipedia.org/wiki/Scientific_pitch_notation

   For example, C 4 is one note above B 3, and A 5 is one note above G 5. The octave number is tied to the alphabetic character used to describe the pitch, with the division between note letters ‘B’ and ‘C’, thus: "B 3" and all of its possible variants (B, B ♭, B, B ♯, B) would properly be designated as being in octave "3".

3. Octave - Wikipedia

   en.wikipedia.org/wiki/Octave

   An octave is the interval between one musical pitch and another with double or half its frequency. For example, if one note has a frequency of 440 Hz, the note one octave above is at 880 Hz, and the note one octave below is at 220 Hz. The ratio of frequencies of two notes an octave apart is therefore 2:1.

4. Genius (mathematics software) - Wikipedia

   en.wikipedia.org/wiki/Genius_(mathematics_software)

   Genius (also known as the Genius Math Tool) is a free open-source numerical computing environment and programming language, [2] similar in some aspects to MATLAB, GNU Octave, Mathematica and Maple. Genius is aimed at mathematical experimentation rather than computationally intensive tasks. It is also very useful as just a calculator.

5. Musical note - Wikipedia

   en.wikipedia.org/wiki/Musical_note

   Notes in each include an additional prime symbol below the note's letter. The octave starting at middle C is called the "small" octave. Notes in it are written as lower case letters, so middle C itself is written c in Helmholtz notation. The next higher octave is called "one-lined". Notes in it include a prime symbol above the note's letter.

6. Pitch class - Wikipedia

   en.wikipedia.org/wiki/Pitch_class

   Because octave-related pitches belong to the same class, when an octave is reached, the numbers begin again at zero. This cyclical system is referred to as modular arithmetic and, in the usual case of chromatic twelve-tone scales, pitch-class numbering is "modulo 12" (customarily abbreviated "mod 12" in the music-theory literature)—that is ...

7. Octave band - Wikipedia

   en.wikipedia.org/wiki/Octave_band

   An octave band is a frequency band that spans one octave (Play ⓘ).In this context an octave can be a factor of 2 [1] [full citation needed] or a factor of 10 0.301. [2] [full citation needed] [3] [full citation needed] An octave of 1200 cents in musical pitch (a logarithmic unit) corresponds to a frequency ratio of ⁠ 2 / 1 ⁠ ≈ 10 0.301.

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   mail.aol.com

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9. Pythagorean tuning - Wikipedia

   en.wikipedia.org/wiki/Pythagorean_tuning

   The purpose of this adjustment is to move the 12 notes within a smaller range of frequency, namely within the interval between the base note D and the D above it (a note with twice its frequency). This interval is typically called the basic octave (on a piano keyboard, an octave has only 12 keys). This dates to antiquity: in Ancient Mesopotamia ...