Dummy index
Joined 12 October 2021
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===temperaments | ===temperaments spectrum=== | ||
{| class="wikitable" | {| class="wikitable" | ||
! [[Fifthspan]] | ! [[Fifthspan]] | ||
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! 6 | ! 6 | ||
! Remarks | ! Remarks | ||
! Mapping development | |||
|- | |- | ||
! [[Meantone family#Flattone|Flattone]] | ! [[Meantone family#Flattone|Flattone]] | ||
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| 11/8 | | 11/8 | ||
| | | | ||
| [{{val| 1 0 ... }}, {{val| 0 1 4 -9 }}] | |||
|- | |- | ||
! [[Septimal meantone]] | ! [[Septimal meantone]] | ||
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| 7/5 | | 7/5 | ||
| Good 4:5:7 in 10 fifthspan<sub>p-p</sub> | | Good 4:5:7 in 10 fifthspan<sub>p-p</sub> | ||
| [{{val| 1 0 ... }}, {{val| 0 1 4 10 }}] +19 | |||
|- | |- | ||
! [[Meantone family#Mohajira|Mohajira]] | ! [[Meantone family#Mohajira|Mohajira]] | ||
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| | | | ||
| 7/5 is at -9.5 fifthspan | | 7/5 is at -9.5 fifthspan | ||
| [{{val| 1 0 ... }}, {{val| 0 2 8 -11 }}] *2-31 | |||
|- | |- | ||
! [[Meantone family#Unidecimal meantone aka Huygens|Undecimal meantone]] | ! [[Meantone family#Unidecimal meantone aka Huygens|Undecimal meantone]] | ||
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| 7/5 | | 7/5 | ||
| Good 4:5:7 in 10 fifthspan<sub>p-p</sub> | | Good 4:5:7 in 10 fifthspan<sub>p-p</sub> | ||
| [{{val| 1 0 ... }}, {{val| 0 1 4 10 18 }}] | |||
|- | |- | ||
! [[Meantone family#Dominant|Dominant]] | ! [[Meantone family#Dominant|Dominant]] | ||
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| 10/7 | | 10/7 | ||
| inaccurate | | inaccurate | ||
| [{{val| 1 0 ... }}, {{val| 0 1 4 -2 }}] -12 | |||
|- | |- | ||
! [[Schismatic family#Schism|Schism]] | ! [[Schismatic family#Schism|Schism]] | ||
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| 7/5 | | 7/5 | ||
| inaccurate | | inaccurate | ||
| [{{val| 1 0 ... }}, {{val| 0 1 -8 -2 }}] -12 | |||
|- | |- | ||
! [[Schismatic family#Grackle|Grackle]] | ! [[Schismatic family#Grackle|Grackle]] | ||
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| | | | ||
| 7/5 is at -18 fifthspan | | 7/5 is at -18 fifthspan | ||
| [{{val| 1 0 ... }}, {{val| 0 1 -8 -26 }}] -24 | |||
|- | |- | ||
! [[Schismatic family#Garibaldi|Garibaldi]] | ! [[Schismatic family#Garibaldi|Garibaldi]] | ||
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| 10/7 | | 10/7 | ||
| Good 4:5:6:7 in 15 fifthspan<sub>p-p</sub><br />Good 4:6 & 5:7 in 6 fifthspan<sub>p-p</sub> | | Good 4:5:6:7 in 15 fifthspan<sub>p-p</sub><br />Good 4:6 & 5:7 in 6 fifthspan<sub>p-p</sub> | ||
| [{{val| 1 0 ... }}, {{val| 0 1 -8 -14 }}] +12 | |||
|- | |- | ||
! [[Schismatic family#Andromeda|Andromeda]] | ! [[Schismatic family#Andromeda|Andromeda]] | ||
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| 10/7 | | 10/7 | ||
| 11/9 is at -20 fifthspan -> [[41edo]] | | 11/9 is at -20 fifthspan -> [[41edo]] | ||
| [{{val| 1 0 ... }}, {{val| 0 1 -8 -14 -18 }}] | |||
|- | |- | ||
! [[Hemififths]] | ! [[Hemififths]] | ||
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| 10/7 | | 10/7 | ||
| 5/4 is at 12.5 fifthspan | | 5/4 is at 12.5 fifthspan | ||
| [{{val| 1 0 ... }}, {{val| 0 2 25 13 5 }}] *2+41 | |||
|- | |- | ||
! [[Chromatic pairs#Edson|Edson]] | ! [[Chromatic pairs#Edson|Edson]] | ||
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| 10/7 | | 10/7 | ||
| -> [[29edo]] | | -> [[29edo]] | ||
| [{{val| 1 0 ... }}, {{val| 0 1 no-five -14-(-8) -18-(-8) -21-(-8) }}] | |||
|- | |- | ||
! [[Gentle region]]<br />[[No-fives subgroup temperaments#Leapfrog|Leapfrog]] | ! [[Gentle region]]<br />[[No-fives subgroup temperaments#Leapfrog|Leapfrog]] | ||
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| | | | ||
| | | | ||
| [{{val| 1 0 ... }}, {{val| 0 1 no-five 15 11 8 }}] +29 | |||
|- | |- | ||
! [[Archytas clan#Supra|Supra]] | ! [[Archytas clan#Supra|Supra]] | ||
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| | | | ||
| | | | ||
| [{{val| 1 0 ... }}, {{val| 0 1 no-five -2 -6 }}] -17 | |||
|} | |} | ||
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{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! Eigenmonzo<br />(unchanged interval) !! data-sort-type="number"|at<br />(fifthspan) !! data-sort-type="number"|Generator<br />(cents) !! class="unsortable"| | ! Eigenmonzo<br />(unchanged interval) !! data-sort-type="number"|at<br />(fifthspan) !! data-sort-type="number"|Generator<br />(cents) !! class="unsortable"|in this temperament | ||
|- | |- | ||
| 11/8 || +6(A4) || 691.886 || | | 11/8 || +6(A4) || 691.886 || Flattone | ||
|- | |- | ||
| 6/5 || -3(m3) || 694.786 || 1/3 comma | | 6/5 || -3(m3) || 694.786 || Meantone (1/3 comma) | ||
|- | |- | ||
| 9/7 || -8(d4) || 695.614 || Septimal | | 9/7 || -8(d4) || 695.614 || Septimal meantone | ||
|- | |- | ||
| 5/4 || +4(M3) || 696.578 || 1/4 comma | | 5/4 || +4(M3) || 696.578 || Meantone (1/4 comma) | ||
|- | |- | ||
| 7/5 || +6(A4) || 697.085 || Septimal | | 7/5 || +6(A4) || 697.085 || Septimal meantone | ||
|- | |- | ||
| 14/11 || -8(d4) || 697.812 || Undecimal | | 14/11 || -8(d4) || 697.812 || Undecimal meantone | ||
|- | |- | ||
| || || || | | || || || | ||
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| 7/5 || -6(d5) || 702.915 || Garibaldi | | 7/5 || -6(d5) || 702.915 || Garibaldi | ||
|- | |- | ||
| 13/11 || -3(m3) || 703.597 || | | 13/11 || -3(m3) || 703.597 || Leapfrog | ||
|- | |- | ||
| 14/11 || +4(M3) || 704.377 || | | 14/11 || +4(M3) || 704.377 || Leapfrog | ||
|- | |- | ||
| 27/22 || -8(d4) || 705.682 || | | 27/22 || -8(d4) || 705.682 || Leapfrog | ||
|- | |- | ||
| 11/9 || -8(d4) || 706.574 || Supra | | 11/9 || -8(d4) || 706.574 || Supra | ||
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| 11/8 || -6(d5) || 708.114 || Supra | | 11/8 || -6(d5) || 708.114 || Supra | ||
|- | |- | ||
| 9/7 || +4(M3) || 708.771 || Archy 1/4 comma | | 9/7 || +4(M3) || 708.771 || Archy (1/4 comma) | ||
|- | |- | ||
| 5/4 || +9(A2) || 709.590 || Superpyth | | 5/4 || +9(A2) || 709.590 || Superpyth | ||
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| 6/5 || -8(d4) || 710.545 || Superpyth | | 6/5 || -8(d4) || 710.545 || Superpyth | ||
|- | |- | ||
| 7/6 || -3(m3) || 711.043 || Archy 1/3 comma | | 7/6 || -3(m3) || 711.043 || Archy (1/3 comma) | ||
|} | |} | ||