A144488 -id:A144488 - cp's OEIS frontend

A123456 Ludwig van Beethoven, Bagatelle No. 25, "Für Elise".

-20, 56, 55, 56, 55, 56, 51, 54, 52, 49, 32, 37, 40, 44, 49, 51, 32, 36, 44, 48, 51, 52, 32, 37, 44, 56, 55, 56, 55, 56, 51, 54, 52, 49, 32, 37, 40, 44, 49, 51, 32, 36, 44, 52, 51, 49, 32, 37, -20, 56, 55, 56, 55, 56, 51, 54, 52, 49, 32, 37, 40, 44, 49, 51, 32, 36, 44, 48, 51, 52, 32, 37

Offset: 1

N. J. A. Sloane and Nadia Heninger, Jun 19 2006

From the source file for a MIDI player. This is intended to demonstrate the "Listen to a sequence" capability of the OEIS.

N. J. A. Sloane, Table of n, a(n) for n = 1..761
Everything2.com, List of notes in MIDI format together with tempo indications [from the link below]
Everything2.com, Für Elise
N. J. A. Sloane, Listening to a sequence
Index entries for sequences related to music

Cf. A144488.

At David Applegate's suggestion, 20 has been subtracted from each entry to make this sound better with the default settings used by the OEIS MIDI player. See A144488 for the old version.

A320304 a(n) is the frequency of MIDI note number n in Hertz, rounded to the nearest integer.

Original entry on oeis.org

8, 9, 9, 10, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 18, 19, 21, 22, 23, 24, 26, 28, 29, 31, 33, 35, 37, 39, 41, 44, 46, 49, 52, 55, 58, 62, 65, 69, 73, 78, 82, 87, 92, 98, 104, 110, 117, 123, 131, 139, 147, 156, 165, 175, 185, 196, 208, 220, 233, 247, 262, 277, 294, 311

Offset: 0

Jianing Song, Oct 10 2018

In electronic music, pitch is often given by MIDI note number. The MIDI number of A_4 (440 Hz) is 69; if a note is k semitones higher than A_4, its MIDI note number is 69 + k, and its frequency is 440*2^(k/12) Hz.

Note that audible notes have MIDI note numbers 16 (20.6017 Hz) to 135 (19912.1270 Hz).

			MIDI note | Note name | Frequency
  number  |           |    (Hz)
     0    |   C_{-1}  |   8.1758
     1    |  C#_{-1}  |   8.6620
     2    |   D_{-1}  |   9.1770
     3    |  D#_{-1}  |   9.7227
     4    |   E_{-1}  |  10.3009
     5    |   F_{-1}  |  10.9134
     6    |  F#_{-1}  |  11.5623
     7    |   G_{-1}  |  12.2499
     8    |  G#_{-1}  |  12.9782
     9    |   A_{-1}  |  13.7500
    10    |  A#_{-1}  |  14.5676
    11    |   B_{-1}  |  15.4339
    12    |   C_{0}   |  16.3516

Jianing Song, Table of n, a(n) for n = 0..1023
Wikipedia, Table of note frequencies

Cf. A144488.

PARI
```
a(n) = round(6.875*2^(n/12+1/4))
```

a(n) = round(6.875*2^(n/12+1/4)).

cp's OEIS Frontend

A123456 Ludwig van Beethoven, Bagatelle No. 25, "Für Elise".

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A320304 a(n) is the frequency of MIDI note number n in Hertz, rounded to the nearest integer.

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