Tripod Notation: Difference between revisions

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== Tripod Notation ==

Tripod Notation is an adaptation of staff notation to work with 225:224 tempered out ([[Marvel|7-limit Marvel Temperament]] and more specifically [[Magic|Magic Temperament]]. More generally, the umbrella of Tripod Notation covers the related ideas of Tricycle Notation and Tricolour keyboards that involve a division of the octave into three ~~region~~ corresponding to three pitches of a triad.

Tripod Notation is an adaptation of staff notation to work with 225:224 tempered out ([[Marvel|7-limit Marvel Temperament]] and more specifically [[Magic|Magic Temperament]]. More generally, the umbrella of Tripod Notation covers the related ideas of Tricycle Notation and Tricolour keyboards that involve a division of the octave into three regions corresponding to three pitches of a triad.

=== The Tripod Notation ===

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Accidental symbols are taken from the Sagittal set. Typesetting and MIDI files are generated by LilyPond.

The three lines of the Tripod staff can be thought of as three strings. A stringed instrument tuned in thirds with semitoes down the fretboard will naturally work with Tripod Notation and look a lot like a [[Kite Guitar]].

A generalization of the Halberstadt keyboard for Tripod Notation can also be imagined: divide the octave into three regions each with a pattern of black and white keys that looks like F to B in the Halberstadt mapping. The black keys then correspond to staff positions and the white keys to accidentals. You need to add one more key for the 22 note MOS. For use on a retuned Halberstadt keyboard, the Tripod staff positions must alternate between F♯, G♯, and B♭ keys for the ideal Tripod adaptation and C, E, and G keys for alternate feet. This adds up to 18 notes per octave.

Other resources: [http://x31eq.com/magic/tripex.pdf Extended Tripod Notations] taking it to the 13-limit and [http://x31eq.com/magic/trip-trojan.pdf Trippy Trojans] showing how to get more conventional staff output from LilyPond with Tripod Notation as input.

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Tripod Notation can be shown on a generalized keyboard by giving each foot a different colour giving a Tricolour metaphor relating to certain national flags. A generalized layout consistent with Meantone Temperament and correct choice of colour specify a rank 3 tuning consistent with 5-limit just intonation or Marvel Temperament.

[http://x31eq.com/lumatone/magic.html Tricolour keyboards] are implemented on the Lumatone.

[http://x31eq.com/lumatone/magic.html Tricolour keyboards] are implemented on the Lumatone. The standard colours don't follow any national flag, but are chosen to be colour-blind safe and look good and distinct with LED keys. The standard colours, with RGB hex, put B and C on (bluish) green (009e73), E and F on pink or reddish purple (CC79A7) and G and A on orange (D55E00).

Tricolour colouring could also work on the staff as a form of tricycle notation. Here, each notehead can be given a Tricolour colour when needed to resolve ambiguity, or left black by default. The standard colours will need to be darkened to work against white paper.

Spelling and pronunciation guide: the word "Tricolour" specifically refers to the national flag of the Republic of Ireland. The standard pronunciation is a variation on the French "Tricolore". The spelling "Tricolour" is preferred to "Tricolore" because the standard colours reflect the Irish flag better than the French. An Americanized spelling of "Tricolor" is also possible.

[[Category:Magic]]

[[Category:Marvel]]

[[Category:41edo]]

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 == Tripod Notation ==
-Tripod Notation is an adaptation of staff notation to work with 225:224 tempered out ([[Marvel|7-limit Marvel Temperament]] and more specifically [[Magic|Magic Temperament]].  More generally, the umbrella of Tripod Notation covers the related ideas of Tricycle Notation and Tricolour keyboards that involve a division of the octave into three region corresponding to three pitches of a triad.
+Tripod Notation is an adaptation of staff notation to work with 225:224 tempered out ([[Marvel|7-limit Marvel Temperament]] and more specifically [[Magic|Magic Temperament]].  More generally, the umbrella of Tripod Notation covers the related ideas of Tricycle Notation and Tricolour keyboards that involve a division of the octave into three regions corresponding to three pitches of a triad.
 === The Tripod Notation ===
@@ Line 10: / Line 10: @@
 Accidental symbols are taken from the Sagittal set.  Typesetting and MIDI files are generated by LilyPond.
+The three lines of the Tripod staff can be thought of as three strings.  A stringed instrument tuned in thirds with semitoes down the fretboard will naturally work with Tripod Notation and look a lot like a [[Kite Guitar]].
+A generalization of the Halberstadt keyboard for Tripod Notation can also be imagined: divide the octave into three regions each with a pattern of black and white keys that looks like F to B in the Halberstadt mapping.  The black keys then correspond to staff positions and the white keys to accidentals.  You need to add one more key for the 22 note MOS.  For use on a retuned Halberstadt keyboard, the Tripod staff positions must alternate between F♯, G♯, and B♭ keys for the ideal Tripod adaptation and C, E, and G keys for alternate feet.  This adds up to 18 notes per octave.
 Other resources: [http://x31eq.com/magic/tripex.pdf Extended Tripod Notations] taking it to the 13-limit and [http://x31eq.com/magic/trip-trojan.pdf Trippy Trojans] showing how to get more conventional staff output from LilyPond with Tripod Notation as input.
@@ Line 27: / Line 31: @@
 Tripod Notation can be shown on a generalized keyboard by giving each foot a different colour giving a Tricolour metaphor relating to certain national flags.  A generalized layout consistent with Meantone Temperament and correct choice of colour specify a rank 3 tuning consistent with 5-limit just intonation or Marvel Temperament.
-[http://x31eq.com/lumatone/magic.html Tricolour keyboards] are implemented on the Lumatone.
+[http://x31eq.com/lumatone/magic.html Tricolour keyboards] are implemented on the Lumatone.  The standard colours don't follow any national flag, but are chosen to be colour-blind safe and look good and distinct with LED keys.  The standard colours, with RGB hex, put B and C on (bluish) green (009e73), E and F on pink or reddish purple (CC79A7) and G and A on orange (D55E00).
+Tricolour colouring could also work on the staff as a form of tricycle notation.  Here, each notehead can be given a Tricolour colour when needed to resolve ambiguity, or left black by default.  The standard colours will need to be darkened to work against white paper.
+Spelling and pronunciation guide: the word "Tricolour" specifically refers to the national flag of the Republic of Ireland.  The standard pronunciation is a variation on the French "Tricolore".  The spelling "Tricolour" is preferred to "Tricolore" because the standard colours reflect the Irish flag better than the French.  An Americanized spelling of "Tricolor" is also possible.
+[[Category:Magic]]
+[[Category:Marvel]]
+[[Category:41edo]]