Also, the names in your data set are actually Scientific pitch notation, not Helmholtz
Look again. They're Helmholtz names, not scientific names. Except that I screwed up and inadvertently continued to use subscripts instead of superscripts when I got to c¹. I just fixed them.
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In this diagram, the octaves are designated by "ticks" following the note name. Your data set uses numbers, like in this other diagram.
Maybe the diagrams are incorrect?
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The diagrams are correct.
Read the third item in the list of Variations in the Wikipedia article titled Helmholtz pitch notation. I chose to use this variation of Helmholtz pitch notation in my example Perl script because it seems more well-suited to computer use and digital typography. One thing that troubled me is that there are no Unicode characters that are low versions of the high prime characters: PRIME U+2032 (′), DOUBLE PRIME U+2033 (″), TRIPLE PRIME U+2034 (‴), etc.
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I think the original Helmholtz Notation for 440Hz/MIDI #69 is a′.
Just a variation of this kind of notation is a¹.
In Scientific Pitch Notation this is A₄.
"It is designated A₄ in scientific pitch notation because of the note's position as the fourth A key on a standard 88-key piano keyboard. On MIDI, it is note 69."
Source
And Jim wrote: a¹,0,69,440.0000000000.
Best regard, Karl
«The Crux of the Biscuit is the Apostrophe»
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