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User:BudjarnLambeth/Batch 89 temperaments: Difference between revisions

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BudjarnLambeth (talk | contribs)
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Documented four temperaments that I discovered
 
BudjarnLambeth (talk | contribs)
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m Reordered sections
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* One harmonic was chosen by converting the first letter of the character's name to a number using the A1Z26 cypher, and using that number.
* One harmonic was chosen by converting the first letter of the character's name to a number using the A1Z26 cypher, and using that number.
* The other was chosen by converting each of the letters of the character's name to a number using the A1Z26 cypher, and then summing the numbers together.  
* The other was chosen by converting each of the letters of the character's name to a number using the A1Z26 cypher, and then summing the numbers together.  
== Floor (2.6.66.89) ==
Equal Temperament Mappings
{| class="wikitable"
!
!2
!6
!66
!89
!
|-
|[ ⟨
|7
|18
|42
|45
|]
|-
|⟨
|17
|44
|103
|110
|] ⟩
|}
Reduced Mapping
{| class="wikitable"
!
!2
!6
!66
!89
!
|-
|[ ⟨
|1
|2
|4
|5
|]
|-
|⟨
|0
|2
|7
|5
|] ⟩
|}
TE Generator Tunings (cents)
⟨1200.5110, 351.0646]
TE Step Tunings (cents)
⟨34.45745, 56.42993]
TE Tuning Map (cents)
⟨1200.511, 3103.151, 7259.496, 7757.878]
TE Mistunings (cents)
⟨0.511, 1.196, 6.223, -13.002]
Equal Temperament Mappings
{| class="wikitable"
!
!2
!6
!66
!89
!
|-
|[ ⟨
|7
|18
|42
|45
|]
|-
|⟨
|17
|44
|103
|110
|] ⟩
|}
Reduced Mapping
{| class="wikitable"
!
!2
!6
!66
!89
!
|-
|[ ⟨
|1
|2
|4
|5
|]
|-
|⟨
|0
|2
|7
|5
|] ⟩
|}
POTE Generator Tunings (cents)
⟨1200.0000, 350.9151]
POTE Step Tunings (cents)
⟨34.44279, 56.40591]
POTE Tuning Map (cents)
⟨1200.000, 3101.830, 7256.406, 7754.576]
POTE Mistunings (cents)
⟨0.000, -0.125, 3.133, -16.304]
{| class="wikitable"
|Complexity
|0.420587
|-
|Adjusted Error
|7.639353 cents
|-
|TE Error
|1.179689 cents/octave
|}
Unison Vectors
* [-3, 1, -1, 1⟩ (89:88)
* [0, -5, 0, 2⟩ (7921:7776)
* [3, -6, 1, 1⟩ (979:972)
* [-6, 7, -2, 0⟩ (243:242)
=== Example MOS scale: Floor[17] ===
* 56.430
* 147.317
* 203.747
* 294.634
* 351.065
* 407.495
* 498.382
* 554.812
* 645.699
* 702.129
* 793.016
* 849.446
* 905.877
* 996.764
* 1053.194
* 1144.081
* 1200.511


== Teefs (2.20.55.89) ==
== Teefs (2.20.55.89) ==
Line 324: Line 503:
* 1135.572
* 1135.572
* 1200.853
* 1200.853
== Floor (2.6.66.89) ==
Equal Temperament Mappings
{| class="wikitable"
!
!2
!6
!66
!89
!
|-
|[ ⟨
|7
|18
|42
|45
|]
|-
|⟨
|17
|44
|103
|110
|] ⟩
|}
Reduced Mapping
{| class="wikitable"
!
!2
!6
!66
!89
!
|-
|[ ⟨
|1
|2
|4
|5
|]
|-
|⟨
|0
|2
|7
|5
|] ⟩
|}
TE Generator Tunings (cents)
⟨1200.5110, 351.0646]
TE Step Tunings (cents)
⟨34.45745, 56.42993]
TE Tuning Map (cents)
⟨1200.511, 3103.151, 7259.496, 7757.878]
TE Mistunings (cents)
⟨0.511, 1.196, 6.223, -13.002]
Equal Temperament Mappings
{| class="wikitable"
!
!2
!6
!66
!89
!
|-
|[ ⟨
|7
|18
|42
|45
|]
|-
|⟨
|17
|44
|103
|110
|] ⟩
|}
Reduced Mapping
{| class="wikitable"
!
!2
!6
!66
!89
!
|-
|[ ⟨
|1
|2
|4
|5
|]
|-
|⟨
|0
|2
|7
|5
|] ⟩
|}
POTE Generator Tunings (cents)
⟨1200.0000, 350.9151]
POTE Step Tunings (cents)
⟨34.44279, 56.40591]
POTE Tuning Map (cents)
⟨1200.000, 3101.830, 7256.406, 7754.576]
POTE Mistunings (cents)
⟨0.000, -0.125, 3.133, -16.304]
{| class="wikitable"
|Complexity
|0.420587
|-
|Adjusted Error
|7.639353 cents
|-
|TE Error
|1.179689 cents/octave
|}
Unison Vectors
* [-3, 1, -1, 1⟩ (89:88)
* [0, -5, 0, 2⟩ (7921:7776)
* [3, -6, 1, 1⟩ (979:972)
* [-6, 7, -2, 0⟩ (243:242)
=== Example MOS scale: Floor[17] ===
* 56.430
* 147.317
* 203.747
* 294.634
* 351.065
* 407.495
* 498.382
* 554.812
* 645.699
* 702.129
* 793.016
* 849.446
* 905.877
* 996.764
* 1053.194
* 1144.081
* 1200.511


== Rocket (2.18.72.89) ==
== Rocket (2.18.72.89) ==
Retrieved from "https://en.xen.wiki/w/User:BudjarnLambeth/Batch_89_temperaments"