Dave Keenan & Douglas Blumeyer's guide to RTT/Conventions for names, variables, units, and notations: Difference between revisions

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RTDLCCPThis is an appendix to [[Dave Keenan]] & [[Douglas Blumeyer]]'s guide to RTT, or "[[D&D's guide]]" for short. The tables in this article present our recommendations for communicating about [[regular temperament theory]] (RTT), in particular the names and notations for temperament matrices, tuning schemes, interval complexities, and measurement units.  
This is an appendix to [[Dave Keenan]] & [[Douglas Blumeyer]]'s guide to RTT, or "[[D&D's guide]]" for short. The tables in this article present our recommendations for communicating about [[regular temperament theory]] (RTT), in particular the names and notations for temperament matrices, tuning schemes, interval complexities, and measurement units.  


Our recommendations are designed to make this topic easy to learn for musicians who do not have technical backgrounds, though we have generally deferred to established mathematical, scientific, and engineering conventions for the benefit of those who do.
Our recommendations are designed to make this topic easy to learn for musicians who do not have technical backgrounds, though we have generally deferred to established mathematical, scientific, and engineering conventions for the benefit of those who do.
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We present our conventions here in three separate sections, one for each level of this article series: '''basic''', '''intermediate''', and '''advanced'''. The basic section contains only information covered in the basic part of the series, the intermediate section contains both basic and intermediate, and the advanced section contains it all (that is to say, the sections are cumulative)<ref>The advanced section also contains conventions collected from other RTT-related articles Dave and Douglas have contributed to but are outside the main guide to RTT series.</ref>. We expect that for most readers, the basic tier will be the best reference (this is the reference designed primarily for musicians interested in RTT, as opposed to scientists, engineers, mathematicians, or theoreticians), and so we've left the other two sections initially collapsed.
We present our conventions here in three separate sections, one for each level of this article series: '''basic''', '''intermediate''', and '''advanced'''. The basic section contains only information covered in the basic part of the series, the intermediate section contains both basic and intermediate, and the advanced section contains it all (that is to say, the sections are cumulative)<ref>The advanced section also contains conventions collected from other RTT-related articles Dave and Douglas have contributed to but are outside the main guide to RTT series.</ref>. We expect that for most readers, the basic tier will be the best reference (this is the reference designed primarily for musicians interested in RTT, as opposed to scientists, engineers, mathematicians, or theoreticians), and so we've left the other two sections initially collapsed.
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== Basic ==
== Basic ==
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|-
|-
! colspan="6" | Weight
! colspan="6" | Weight
! colspan="3" rowspan="1" | Optimization
! colspan="3" | Optimization
|-
|-
! colspan="3" | Interval complexity
! colspan="3" | Interval complexity
! colspan="3" rowspan="1" | Slope
! colspan="3" | Slope
! colspan="1" rowspan="2" | Initial
! rowspan="2" | Initial
! colspan="1" rowspan="2" | Name
! rowspan="2" | Name
! colspan="1" rowspan="2" | Power
! rowspan="2" | Power
|-
|-
! Initial
! Initial
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! Name
! Name
! Multiplier
! Multiplier
! colspan="1" | Abbreviated
! | Abbreviated
! colspan="1" | Read ("____ tuning scheme")
! | Read ("____ tuning scheme")
|-
|-
| <n/a>
| <n/a>
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{| class="wikitable center-all mw-collapsible mw-collapsed"
{| class="wikitable center-all mw-collapsible mw-collapsed"
| +
! colspan="3" rowspan="3" | Retuning (or mistuning) magnitude
|-
! colspan="9" | Damage
! colspan="3" rowspan="3" | retuning (or mistuning) magnitude
! rowspan="4" | Target intervals
! colspan="9" | damage
! colspan="2" rowspan="3" | Systematic name
! rowspan="4" | target
! rowspan="4" | Previously named tuning schemes that are specific types of this tuning scheme
 
intervals
! colspan="2" rowspan="3" | systematic name
! rowspan="4" | previously named tuning schemes that are specific types of this tuning scheme
! rowspan="4" | of interest?
! rowspan="4" | of interest?
|-
|-
! colspan="6" | weight
! colspan="6" | Weight
! colspan="3" rowspan="1" | optimization
! colspan="3" | Optimization
|-
|-
! colspan="3" | interval complexity
! colspan="3" | Interval complexity
! colspan="3" rowspan="1" | slope
! colspan="3" | Slope
! colspan="1" rowspan="2" | initial
! rowspan="2" | Initial
! colspan="1" rowspan="2" | name
! rowspan="2" | Name
! colspan="1" rowspan="2" | power
! rowspan="2" | Power
|-
|-
! initial
! Initial
! name
! Name
! power
! Power
! initial
! Initial
! name
! Name
! power
! Power
! initial
! Initial
! name
! Name
! multiplier
! Multiplier
! colspan="1" | abbreviated
! | Abbreviated
! colspan="1" | read ("____ tuning scheme")
! | Read ("____ tuning scheme")
|-
|-
| <n/a>
| <n/a>
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{| class="wikitable center-all mw-collapsible mw-collapsed"
{| class="wikitable center-all mw-collapsible mw-collapsed"
! colspan="6" rowspan="3" | Retuning (or mistuning) magnitude
! colspan="6" rowspan="3" | Retuning (or mistuning) magnitude
! colspan="12" rowspan="1" | Damage
! colspan="12" | Damage
! rowspan="5" | Target intervals
! rowspan="5" | Target intervals
! colspan="2" rowspan="4" | Systematic name
! colspan="2" rowspan="4" | Systematic name
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! rowspan="5" | Of interest?
! rowspan="5" | Of interest?
|-
|-
! colspan="9" rowspan="1" | Weight
! colspan="9" | Weight
! colspan="3" rowspan="1" | Optimization
! colspan="3" | Optimization
|-
|-
! colspan="6" rowspan="1" | Interval complexity
! colspan="6" | Interval complexity
! colspan="3" rowspan="1" | Slope
! colspan="3" | Slope
! colspan="1" rowspan="3" | Initial
! rowspan="3" | Initial
! colspan="1" rowspan="3" | Name
! rowspan="3" | Name
! colspan="1" rowspan="3" | Power
! rowspan="3" | Power
|-
|-
! colspan="3" rowspan="1" | Norm pretransformer
! colspan="3" | Norm pretransformer
! colspan="3" rowspan="1" | Norm power
! colspan="3" | Norm power
! colspan="3" rowspan="1" | Norm pretransformer
! colspan="3" | Norm pretransformer
! colspan="3" rowspan="1" | Norm power
! colspan="3" | Norm power
! colspan="1" rowspan="2" | Initial
! rowspan="2" | Initial
! colspan="1" rowspan="2" | Name
! rowspan="2" | Name
! colspan="1" rowspan="2" | Multiplier
! rowspan="2" | Multiplier
|-
|-
! Initial
! Initial
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! Name
! Name
! Power
! Power
! colspan="1" | Abbreviated
! | Abbreviated
! colspan="1" | Read ("____ tuning scheme")
! | Read ("____ tuning scheme")
|-
|-
| colspan="3" | <none>
| colspan="3" | <none>
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! Description
! Description
|-
|-
! colspan="3" rowspan="1" | Keyboard key symbols
! colspan="3" | Keyboard key symbols
|-
|-
| ⎄⎄⎄
| ⎄⎄⎄
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| Dotted circle, represents any character (such as the character preceding a combining mark)
| Dotted circle, represents any character (such as the character preceding a combining mark)
|-
|-
! colspan="3" rowspan="1" | Double key sequences
! colspan="3" | Double key sequences
|-
|-
| ⎄␣␣
| ⎄␣␣
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| Right etc. arrows
| Right etc. arrows
|-
|-
! colspan="3" rowspan="1" | Multiplication operators
! colspan="3" | Multiplication operators
|-
|-
| ⎄xx
| ⎄xx
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| Bullet (infix: fat dot product, Dorst)
| Bullet (infix: fat dot product, Dorst)
|-
|-
! colspan="3" rowspan="1" | Other operators
! colspan="3" | Other operators
|-
|-
| ⎄v/
| ⎄v/
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| <nowiki>Double-struck italic, ⎄| 0e ⎄| i (only a few)</nowiki>
| <nowiki>Double-struck italic, ⎄| 0e ⎄| i (only a few)</nowiki>
|-
|-
! colspan="3" rowspan="1" | Power statistics brackets
! colspan="3" | Power statistics brackets
|-
|-
| <nowiki>⎄| | </nowiki>
| <nowiki>⎄| | </nowiki>
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| Right power-sum bracket (substitute for {{rrzigzag}} when HTML is not available)
| Right power-sum bracket (substitute for {{rrzigzag}} when HTML is not available)
|-
|-
! colspan="3" rowspan="1" | Combining marks
! colspan="3" | Combining marks
|-
|-
| ⎄\-
| ⎄\-
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