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432 Hz changes the pitch reference, not the temperament
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[QUOTE="Bombastus, post: 92208, member: 2178"] Lowering A4 from 440 Hz to 432 Hz shifts every equal-tempered note by about 31.77 cents without changing the intervals between them. In a normal twelve-tone equal-tempered project, A432 is simply a different reference point for the same pitch grid. The spacing between C, C sharp, D, and every other note stays exactly where equal temperament puts it. If you have already set your [B][URL='https://goldmidi.com/community/resources/how-to-tune-fl-studio-to-432-hz.38/']FL Studio 432 Hz tuning[/URL][/B], your C minor chord is still C minor and your melody keeps the same interval pattern. MIDI note names do not change either. Only the absolute frequencies assigned to those notes move slightly lower. People often bundle 432 Hz with just intonation, Pythagorean tuning, or other alternative temperaments. They are different controls over different parts of the musical system. Reference pitch decides where the system sits in frequency, while temperament decides how the notes are spaced inside an octave. [HEADING=2]Equal temperament stays intact at A432[/HEADING] Twelve-tone equal temperament divides an octave into twelve equal logarithmic steps. Each semitone uses the same frequency ratio, the twelfth root of two, whether A4 is set to 440 Hz, 432 Hz, or another reference. Changing the reference from 440 to 432 multiplies every equal-tempered note frequency by the same 432 divided by 440 ratio. A perfect fifth therefore remains 700 cents, a major third remains 400 cents, and an octave remains 1,200 cents. Those interval sizes survive the move to A432 untouched. You are lowering the entire framework rather than rebuilding the distances between its notes. The hertz difference is not eight at every octave, even though the musical offset stays about 31.77 cents. A3 moves from 220 Hz to 216 Hz, while A5 moves from 880 Hz to 864 Hz. Cents track proportional pitch distance, which is why one global shift can stay musically consistent across the keyboard. This matters inside a DAW because a chord progression does not need new note choices just because you changed the reference pitch. A MIDI progression that worked at A440 keeps the same harmonic structure at A432. Problems appear when some instruments, samples, correction plug-ins, or external gear stay referenced to 440 while the rest of the project moves. [HEADING=2]The C equals 256 claim breaks in equal temperament[/HEADING] A common 432 Hz talking point says middle C becomes exactly 256 Hz. It does not in twelve-tone equal temperament when A4 is exactly 432 Hz. Using the equal-tempered relationship between C4 and A4 puts C4 at about 256.87 Hz. Making C4 exactly 256 Hz while keeping twelve-tone equal temperament would instead place A4 at roughly 430.54 Hz. The popular pairing of C4 at 256 Hz and A4 at 432 Hz uses a frequency ratio of 27 to 16 between those notes. Standard equal temperament uses a slightly different major-sixth ratio, so both round numbers cannot occupy those two note positions simultaneously without changing the interval system. This is more than arithmetic trivia when you are checking tuning charts or building test tones. A chart can say A4 equals 432 Hz and still use equal temperament, but its C4 should then land near 256.87 Hz. Seeing 256 Hz beside C4 tells you another tuning relationship has entered the picture, even if the page labels everything simply as “432 Hz tuning.” The distinction between systems is not merely theoretical. [B][URL='https://pubmed.ncbi.nlm.nih.gov/15532672/']A mathematical analysis of four historical tunings[/URL][/B] treats equal temperament, just intonation, meantone, and well temperament as separate ways of arranging interval relationships. Each can be discussed independently of the choice of concert-pitch reference. [HEADING=2]A different temperament needs a different pitch map[/HEADING] Just intonation changes specific intervals by using simple frequency ratios. A just major third at 5 to 4 is about 386.31 cents, noticeably different from the 400-cent major third built into twelve-tone equal temperament. A pure 3-to-2 perfect fifth is about 701.96 cents rather than the equal-tempered 700 cents. Pythagorean tuning changes the map differently again, building intervals from repeated 3-to-2 fifth relationships and octave adjustments. You can anchor such a system around 432 Hz, 440 Hz, or another chosen reference. Moving the anchor does not magically turn one temperament into another. FL Studio’s Master Pitch control changes the project’s pitch reference for channels that respond to it, but it does not redesign the interval spacing of MIDI notes. If you want A432 plus just intonation or another microtonal temperament, the sound source or tuning workflow must support individual note relationships rather than one global offset. For a conventional equal-tempered production whose only goal is A4 at 432 Hz, no temperament conversion is required. [/QUOTE]
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Labrish
Nalij
Jinaral kantent
432 Hz changes the pitch reference, not the temperament
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