Draft:Beat (acoustics)/LilyPond

User:Guy vandegrift/sandbox

4/4
This is difficult for me to hear. Perhaps because the amplitude beat domminates.

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
I have the beats per minute wrong: Cut in half

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.

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Lilypond.org (GNU) https://lilypond.org/manuals.html Brief introduction to LilyPond Manuals (available in three convenient formats) lilypond.org/doc/v2.23/Documentation/learning/graphical-setup-under-windows
 * Music/Software/Lilypond


 * Wikipedia:Help:Score   Wikisource:Help:Sheet music

lilypon.org learning manual
https://lilypond.org/doc/v2.23/Documentation/learning/index#top
 * GOOGLE SITE SEARCH
 * INDEX is the index provided by lilypond.org for this resource.

save but don't use
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.