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

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m Tuning schemes: Capitalisation
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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="3" rowspan="3" | Retuning (or mistuning) magnitude
! colspan="9" | damage
! colspan="9" | Damage
! rowspan="4" | target
! rowspan="4" | Target<br />intervals
 
! colspan="2" rowspan="3" | Systematic name
intervals
! rowspan="4" | Previously named tuning schemes that are specific types of this tuning scheme
! colspan="2" rowspan="3" | systematic name
! rowspan="4" | Of interest?
! rowspan="4" | previously named tuning schemes that are specific types of this tuning scheme
! rowspan="4" | of interest?
|-
|-
! colspan="6" | weight
! colspan="6" | Weight
! colspan="3" rowspan="1" | optimization
! colspan="3" rowspan="1" | Optimization
|-
|-
! colspan="3" | interval complexity
! colspan="3" | Interval complexity
! colspan="3" rowspan="1" | slope
! colspan="3" rowspan="1" | Slope
! colspan="1" rowspan="2" | initial
! colspan="1" rowspan="2" | Initial
! colspan="1" rowspan="2" | name
! colspan="1" rowspan="2" | Name
! colspan="1" rowspan="2" | power
! colspan="1" rowspan="2" | Power
|-
|-
! initial
! Initial
! name
! Name
! power
! Power
! initial
! Initial
! name
! Name
! power
! Power
! initial
! Initial
! name
! Name
! multiplier
! Multiplier
! colspan="1" | abbreviated
! colspan="1" | Abbreviated
! colspan="1" | read ("____ tuning scheme")
! colspan="1" | Read ("____ tuning scheme")
|-
|-
| <n/a>
| <n/a>
| maximum
| Maximum
|
| &infin;
| (t)
| (t)
| taxicab
| Taxicab
| 1
| 1
| rowspan="2" | S
| rowspan="2" | ''S''
| rowspan="2" | simplicity-weight
| rowspan="2" | Simplicity-weight
| rowspan="2" | 1/complexity
| rowspan="2" | 1/Complexity
| rowspan="17" | <n/a>
| rowspan="17" | <n/a>
| rowspan="7" | minimax
| rowspan="7" | Minimax
| rowspan="7" | ∞
| rowspan="7" | ∞
| rowspan="2" | all
| rowspan="2" | All
| minimax-S
| Minimax-S
| minimax simplicity-weight damage
| Minimax simplicity-weight damage
| "[[TOP]]"/"[[T1]]"/"[[TIPTOP]]"*, "[[CTOP]]", "[[POTOP]]"/"[[POTT]]"*, "[[BOP tuning| BOP]]", "[[Weil Norms, Tenney-Weil Norms, and TWp Interval and Tuning Space| Weil]]", "[[Kees]]"
| "[[TOP]]"/"[[T1]]"/"[[TIPTOP]]"*, "[[CTOP]]", "[[POTOP]]"/"[[POTT]]"*, "[[BOP tuning|BOP]]", "[[Weil Norms, Tenney-Weil Norms, and TWp Interval and Tuning Space|Weil]]", "[[Kees]]"
| yes
| Yes
|-
|-
| <n/a>
| <n/a>
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| Euclidean
| Euclidean
| 2
| 2
| minimax-ES
| Minimax-ES
| minimax Euclideanized-simplicity-weight damage
| Minimax Euclideanized-simplicity-weight damage
| "[[Tenney-Euclidean tuning| TE]]"/"[[T2]]"/"[[TOP-RMS]]", "[[CTE tuning| CTE]]", "[[POTE tuning| POTE]]", "[[Frobenius]]", "[[BE]]", "[[WE]]", "[[KE]]"
| "[[Tenney-Euclidean tuning|TE]]"/"[[T2]]"/"[[TOP-RMS]]", "[[CTE tuning|CTE]]", "[[POTE tuning|POTE]]", "[[Frobenius]]", "[[BE]]", "[[WE]]", "[[KE]]"
|  
|  
|-
|-
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| colspan="3" | <n/a>
| colspan="3" | <n/a>
| U
| U
| unity-weight
| Unity-weight
| <none>
| <none>
| rowspan="15" | <set>
| rowspan="15" | <set>
| <set> minimax-U
| <set> Minimax-U
| <set> minimax unity-weight-damage
| <set> Minimax unity-weight-damage
| "[[Minimax tuning| minimax]]"
| "[[Minimax tuning| minimax]]"
| yes
| yes
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| 1
| 1
| rowspan="2" | S
| rowspan="2" | S
| rowspan="2" | simplicity-weight
| rowspan="2" | Simplicity-weight
| rowspan="2" | 1/complexity
| rowspan="2" | 1/Complexity
| <set> minimax-S
| <set> Minimax-S
| <set> minimax simplicity-weight damage
| <set> Minimax simplicity-weight damage
|  
|  
| yes
| Yes
|-
|-
| E
| E
| Euclidean
| Euclidean
| 2
| 2
| <set> minimax-ES
| <set> Minimax-ES
| <set> minimax Euclideanized-simplicity-weight damage
| <set> Minimax Euclideanized-simplicity-weight damage
|  
|  
|  
|  
|-
|-
| (t)
| (t)
| taxicab
| Taxicab
| 1
| 1
| rowspan="2" | C
| rowspan="2" | C
| rowspan="2" | complexity-weight
| rowspan="2" | Complexity-weight
| rowspan="2" | complexity
| rowspan="2" | Complexity
| <set> minimax-C
| <set> Minimax-C
| <set> minimax complexity-weight damage
| <set> Minimax complexity-weight damage
|  
|  
| yes
| Yes
|-
|-
| E
| E
| Euclidean
| Euclidean
| 2
| 2
| <set> minimax-EC
| <set> Minimax-EC
| <set> minimax Euclideanized-complexity-weight damage
| <set> Minimax Euclideanized-complexity-weight damage
|  
|  
|  
|  
Line 1,981: Line 1,979:
| colspan="3" | <n/a>
| colspan="3" | <n/a>
| U
| U
| unity-weight
| Unity-weight
| <none>
| <none>
| rowspan="5" | miniRMS
| rowspan="5" | MiniRMS
| rowspan="5" | 2
| rowspan="5" | 2
| <set> miniRMS-U
| <set> MiniRMS-U
| <set> miniRMS unity-weight damage
| <set> MiniRMS unity-weight damage
| "[[least squares]]"
| "[[Least squares]]"
| yes
| Yes
|-
|-
| (t)
| (t)
| taxicab
| Taxicab
| 1
| 1
| rowspan="2" | S
| rowspan="2" | S
| rowspan="2" | simplicity-weight
| rowspan="2" | Simplicity-weight
| rowspan="2" | 1/complexity
| rowspan="2" | 1/Complexity
| <set> miniRMS-S
| <set> MiniRMS-S
| <set> miniRMS simplicity-weight damage
| <set> MiniRMS simplicity-weight damage
|  
|  
| yes
| Yes
|-
|-
| E
| E
| Euclidean
| Euclidean
| 2
| 2
| <set> miniRMS-ES
| <set> MiniRMS-ES
| <set> miniRMS Euclideanized-simplicity-weight damage
| <set> MiniRMS Euclideanized-simplicity-weight damage
|  
|  
|  
|  
|-
|-
| (t)
| (t)
| taxicab
| Taxicab
| 1
| 1
| rowspan="2" | C
| rowspan="2" | C
| rowspan="2" | complexity-weight
| rowspan="2" | Complexity-weight
| rowspan="2" | complexity
| rowspan="2" | Complexity
| <set> miniRMS-C
| <set> MiniRMS-C
| <set> miniRMS complexity-weight damage
| <set> MiniRMS complexity-weight damage
|  
|  
| yes
| Yes
|-
|-
| E
| E
| Euclidean
| Euclidean
| 2
| 2
| <set> miniRMS-EC
| <set> MiniRMS-EC
| <set> miniRMS Euclideanized-complexity-weight damage
| <set> MiniRMS Euclideanized-complexity-weight damage
|  
|  
|  
|  
Line 2,030: Line 2,028:
| colspan="3" | <n/a>
| colspan="3" | <n/a>
| U
| U
| unity-weight
| Unity-weight
| <none>
| <none>
| rowspan="5" | miniaverage
| rowspan="5" | Miniaverage
| rowspan="5" | 1
| rowspan="5" | 1
| <set> miniaverage-U
| <set> Miniaverage-U
| <set> miniaverage unity-weight damage
| <set> Miniaverage unity-weight damage
|  
|  
| yes
| Yes
|-
|-
| (t)
| (t)
| taxicab
| Taxicab
| 1
| 1
| rowspan="2" | S
| rowspan="2" | S
| rowspan="2" | simplicity-weight
| rowspan="2" | Simplicity-weight
| rowspan="2" | 1/complexity
| rowspan="2" | 1/Complexity
| <set> miniaverage-S
| <set> Miniaverage-S
| <set> miniaverage simplicity-weight damage
| <set> Miniaverage simplicity-weight damage
|  
|  
| yes
| Yes
|-
|-
| E
| E
| Euclidean
| Euclidean
| 2
| 2
| <set> miniaverage-ES
| <set> Miniaverage-ES
| <set> miniaverage Euclideanized-simplicity-weight damage
| <set> Miniaverage Euclideanized-simplicity-weight damage
|  
|  
|  
|  
|-
|-
| (t)
| (t)
| taxicab
| Taxicab
| 1
| 1
| rowspan="2" | C
| rowspan="2" | C
| rowspan="2" | complexity-weight
| rowspan="2" | Complexity-weight
| rowspan="2" | complexity
| rowspan="2" | Complexity
| <set> miniaverage-C
| <set> Miniaverage-C
| <set> miniaverage complexity-weight damage
| <set> Miniaverage complexity-weight damage
|  
|  
| yes
| Yes
|-
|-
| E
| E
| Euclidean
| Euclidean
| 2
| 2
| <set> miniaverage-EC
| <set> Miniaverage-EC
| <set> miniaverage Euclideanized-complexity-weight damage
| <set> Miniaverage Euclideanized-complexity-weight damage
|  
|  
|  
|