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04:11, 1 January 2023 (UTC)

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Beats with lilypond
The quarter notes in this score represent the rate at which "phase beats" occur. This was accomplished by establishing the tempo to be 𝅘𝅥𝅰 =$715$ (32nd notes per minute.) This unconventional tempo is a consequence of the fact that LilyPond can only define tempo in terms of integers. For the pitches used in this score, the equal tempered perfect fifth will produce phase beats at a rate of &#9833; =$89.386$ (beats per minute.) Since this value is not an integer, we count smaller intervals of time: There are eight 32th notes in a quarter note (because $$8\times\tfrac{1}{32}=\tfrac 1 4$$.)  Since $$715/8=89.375$$, the tempo 𝅘𝅥𝅰 =$715$ is exactly the same as &#9833; =$89.375$, which is only 0.01% slower than the desired tempo.

6/8
The quarter notes in this score represent the rate at which "phase beats" occur. This was accomplished by establishing the tempo to be 𝅘𝅥𝅰 =$715$ (32nd notes per minute.) This unconventional tempo is a consequence of the fact that LilyPond can only define tempo in terms of integers. For the pitches used in this score, the equal tempered perfect fifth will produce phase beats at a rate of &#9833; =$89.386$ (beats per minute.) Since this value is not an integer, we count smaller intervals of time: There are eight 32th notes in a quarter note (because $$8\times\tfrac{1}{32}=\tfrac 1 4$$.)  Since $$715/8=89.375$$, the tempo 𝅘𝅥𝅰 =$715$ is exactly the same as &#9833; =$89.375$, which is only 0.01% slower than the desired tempo.

4/4
The quarter notes in this score represent the rate at which "phase beats" occur. This was accomplished by establishing the tempo to be 𝅘𝅥𝅰 =$715$ (32nd notes per minute.) This unconventional tempo is a consequence of the fact that LilyPond can only define tempo in terms of integers. For the pitches used in this score, the equal tempered perfect fifth will produce phase beats at a rate of &#9833; =$89.386$ (beats per minute.) Since this value is not an integer, we count smaller intervals of time: There are eight 32th notes in a quarter note (because $$8\times\tfrac{1}{32}=\tfrac 1 4$$.)  Since $$715/8=89.375$$, the tempo 𝅘𝅥𝅰 =$715$ is exactly the same as &#9833; =$89.375$, which is only 0.01% slower than the desired tempo.

2/2
The quarter notes in this score represent the rate at which "phase beats" occur. This was accomplished by establishing the tempo to be 𝅘𝅥𝅰 =$715$ (32nd notes per minute.) This unconventional tempo is a consequence of the fact that LilyPond can only define tempo in terms of integers. For the pitches used in this score, the equal tempered perfect fifth will produce phase beats at a rate of &#9833; =$89.386$ (beats per minute.) Since this value is not an integer, we count smaller intervals of time: There are eight 32th notes in a quarter note (because $$8\times\tfrac{1}{32}=\tfrac 1 4$$.)  Since $$715/8=89.375$$, the tempo 𝅘𝅥𝅰 =$715$ is exactly the same as &#9833; =$89.375$, which is only 0.01% slower than the desired tempo.

unfinished beethoven 7 passage
See also https://lilypond.org/doc/v2.23/Documentation/notation/simultaneous-notes

Wikidebates
Wikidebate collection

ogg and mid (midi) files intervals
12 tone chromatic scale

Lilipond Shark attack Beethoven
Beethoven 7th Symphony 3rd Movement orchestral score
 * Pages: 6 (Assai meno presto) and 8 (shark)

Beethoven 7th Symphony Second Movement: Orchestra (Youtube)

Piano/violin (Youtube w/score) Assai meno presto @1621s. Shark @1626s)

[I see a shark] John Williams Shark Theme

The following is at https://youtu.be/NaZ49Gl2bHs?t=1681

Polyphony easy-to-read
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