Tuning RPNs: Difference between revisions
Wikispaces>TallKite **Imported revision 453092522 - Original comment: ** |
Wikispaces>TallKite **Imported revision 453092914 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2013-09-22 08: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2013-09-22 08:17:30 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>453092914</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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frequency = 440 * 2 ^ [ (outputNote - 69) / 12 + (pitchBend / 8192 - 1) / 6 ] | frequency = 440 * 2 ^ [ (outputNote - 69) / 12 + (pitchBend / 8192 - 1) / 6 ] | ||
The pitch bend range is "hard-wired" to 2 semitones, one sixth of an octave, hence the 6 at the end of the equation. If the physical pitch bend wheel is moved, that bend would be added onto the tuning bend. The physical pitch bend wheel is not hard-wired to 200¢ and is governed by the usual pitch bend range. | The pitch bend range is "hard-wired" to 2 semitones, one sixth of an octave, hence the 6 at the end of the equation. (//This may be changed from 2 semitones to 50¢ - Ed.//) If the physical pitch bend wheel is moved, that bend would be added onto the tuning bend. The physical pitch bend wheel is not hard-wired to 200¢ and is governed by the usual pitch bend range. | ||
Because microtonalists use array keyboards, there may be a full 128 keys in use. Any input key can be mapped to any output frequency. Because alternate tunings can have more than 12 notes per octave, more than one input note may be be mapped to the same output note. Therefore the pitch bend is associated with the input note, not the output note. Specifying an output note is optional. If none is specified, the output note is understood to be the same as the input note. | Because microtonalists use array keyboards, there may be a full 128 keys in use. Any input key can be mapped to any output frequency. Because alternate tunings can have more than 12 notes per octave, more than one input note may be be mapped to the same output note. Therefore the pitch bend is associated with the input note, not the output note. Specifying an output note is optional. If none is specified, the output note is understood to be the same as the input note. | ||
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E9 note-on: 9c FC yy (coarse bend, optional) | E9 note-on: 9c FC yy (coarse bend, optional) | ||
D#9 note-on: 9c FB zz (fine bend, required) | D#9 note-on: 9c FB zz (fine bend, required) | ||
(//There may be an additional "ultra-fine bend" message added - Ed.//) | |||
These messages are always sent in this order. If the F#9 message is omitted, additional output note and bend messages continue to affect the current input note, overwriting previous output note and bend messages. The output note message is optional and would generally be omitted for 12-notes-per-octave tunings. The coarse bend could be omitted for slight pitch bends that don't change the MSB of the pitch bend. The required fine bend message functions as an "end of tuning message" marker and the synth waits until receiving this message to actually apply the new tuning. In general, the retuning software will limit the pitch bends to +/- 50¢. The midi stream for pitch glides will be reduced to mostly fine bends, with coarse bends whenever the MSB boundary is crossed, and output note messages whenever the note boundary is crossed. | These messages are always sent in this order. If the F#9 message is omitted, additional output note and bend messages continue to affect the current input note, overwriting previous output note and bend messages. The output note message is optional and would generally be omitted for 12-notes-per-octave tunings. The coarse bend could be omitted for slight pitch bends that don't change the MSB of the pitch bend. The required fine bend message functions as an "end of tuning message" marker and the synth waits until receiving this message to actually apply the new tuning. In general, the retuning software will limit the pitch bends to +/- 50¢. The midi stream for pitch glides will be reduced to mostly fine bends, with coarse bends whenever the MSB boundary is crossed, and output note messages whenever the note boundary is crossed. | ||
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frequency = 440 * 2 ^ [ (outputNote - 69) / 12 + (pitchBend / 8192 - 1) / 6 ]<br /> | frequency = 440 * 2 ^ [ (outputNote - 69) / 12 + (pitchBend / 8192 - 1) / 6 ]<br /> | ||
<br /> | <br /> | ||
The pitch bend range is &quot;hard-wired&quot; to 2 semitones, one sixth of an octave, hence the 6 at the end of the equation. If the physical pitch bend wheel is moved, that bend would be added onto the tuning bend. The physical pitch bend wheel is not hard-wired to 200¢ and is governed by the usual pitch bend range.<br /> | The pitch bend range is &quot;hard-wired&quot; to 2 semitones, one sixth of an octave, hence the 6 at the end of the equation. (<em>This may be changed from 2 semitones to 50¢ - Ed.</em>) If the physical pitch bend wheel is moved, that bend would be added onto the tuning bend. The physical pitch bend wheel is not hard-wired to 200¢ and is governed by the usual pitch bend range.<br /> | ||
<br /> | <br /> | ||
Because microtonalists use array keyboards, there may be a full 128 keys in use. Any input key can be mapped to any output frequency. Because alternate tunings can have more than 12 notes per octave, more than one input note may be be mapped to the same output note. Therefore the pitch bend is associated with the input note, not the output note. Specifying an output note is optional. If none is specified, the output note is understood to be the same as the input note.<br /> | Because microtonalists use array keyboards, there may be a full 128 keys in use. Any input key can be mapped to any output frequency. Because alternate tunings can have more than 12 notes per octave, more than one input note may be be mapped to the same output note. Therefore the pitch bend is associated with the input note, not the output note. Specifying an output note is optional. If none is specified, the output note is understood to be the same as the input note.<br /> | ||
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E9 note-on: 9c FC yy (coarse bend, optional)<br /> | E9 note-on: 9c FC yy (coarse bend, optional)<br /> | ||
D#9 note-on: 9c FB zz (fine bend, required)<br /> | D#9 note-on: 9c FB zz (fine bend, required)<br /> | ||
<br /> | |||
(<em>There may be an additional &quot;ultra-fine bend&quot; message added - Ed.</em>)<br /> | |||
<br /> | <br /> | ||
These messages are always sent in this order. If the F#9 message is omitted, additional output note and bend messages continue to affect the current input note, overwriting previous output note and bend messages. The output note message is optional and would generally be omitted for 12-notes-per-octave tunings. The coarse bend could be omitted for slight pitch bends that don't change the MSB of the pitch bend. The required fine bend message functions as an &quot;end of tuning message&quot; marker and the synth waits until receiving this message to actually apply the new tuning. In general, the retuning software will limit the pitch bends to +/- 50¢. The midi stream for pitch glides will be reduced to mostly fine bends, with coarse bends whenever the MSB boundary is crossed, and output note messages whenever the note boundary is crossed.<br /> | These messages are always sent in this order. If the F#9 message is omitted, additional output note and bend messages continue to affect the current input note, overwriting previous output note and bend messages. The output note message is optional and would generally be omitted for 12-notes-per-octave tunings. The coarse bend could be omitted for slight pitch bends that don't change the MSB of the pitch bend. The required fine bend message functions as an &quot;end of tuning message&quot; marker and the synth waits until receiving this message to actually apply the new tuning. In general, the retuning software will limit the pitch bends to +/- 50¢. The midi stream for pitch glides will be reduced to mostly fine bends, with coarse bends whenever the MSB boundary is crossed, and output note messages whenever the note boundary is crossed.<br /> | ||