Vengeance: Difference between revisions
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The harmonic 7 can be added in a similar way to how mavila is extended to [[armodue]], by having [[7/4]] reached as -5 generators of 34/25 (or the "minor seventh" in antidiatonic terms). | The harmonic 7 can be added in a similar way to how mavila is extended to [[armodue]], by having [[7/4]] reached as -5 generators of 34/25 (or the "minor seventh" in antidiatonic terms). | ||
For technical data, see [[no-threes subgroup temperaments#Vengeance]]. | For technical data, see [[no-threes subgroup temperaments #Vengeance]]. | ||
== Interval chain == | == Interval chain == | ||
In the following table, prime harmonics are labeled in '''bold'''. | In the following table, prime harmonics are labeled in '''bold'''. | ||
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{|class="wikitable" | {|class="wikitable" | ||
|- | |- | ||
!# | ! # | ||
!Cents* | ! Cents* | ||
!Approximate ratios | ! Approximate ratios | ||
!colspan=2|Melodic antidiatonic notation | ! colspan=2| Melodic antidiatonic notation | ||
|- | |- | ||
|0 | | 0 | ||
|0.00 | | 0.00 | ||
|'''1/1''' | | '''1/1''' | ||
|perfect unison | | perfect unison | ||
|D | | D | ||
|- | |- | ||
|1 | | 1 | ||
|527.928 | | 527.928 | ||
|34/25 | | 34/25 | ||
|perfect 4th | | perfect 4th | ||
|G | | G | ||
|- | |- | ||
|2 | | 2 | ||
|1055.856 | | 1055.856 | ||
|119/64, 125/68 | | 119/64, 125/68 | ||
|major 7th | | major 7th | ||
|C | | C | ||
|- | |- | ||
|3 | |3 | ||
|383.784 | | 383.784 | ||
|'''5/4''' | | '''5/4''' | ||
|major 3rd | | major 3rd | ||
|F | | F | ||
|- | |- | ||
|4 | | 4 | ||
|911.712 | | 911.712 | ||
|17/10 | | 17/10 | ||
|major 6th | | major 6th | ||
|B# | | B# | ||
|- | |- | ||
|5 | | 5 | ||
|239.64 | | 239.64 | ||
|'''8/7''' | | '''8/7''' | ||
|major 2nd | | major 2nd | ||
|E# | | E# | ||
|- | |- | ||
|6 | | 6 | ||
|767.568 | | 767.568 | ||
|25/16 | | 25/16 | ||
|minor 6th | | minor 6th | ||
|B | | B | ||
|- | |- | ||
|7 | | 7 | ||
|95.496 | | 95.496 | ||
|'''17/16''' | | '''17/16''' | ||
|augmented unison | | augmented unison | ||
|D# | | D# | ||
|} | |} | ||
<nowiki>*</nowiki> in 2.5.7.17 subgroup CTE tuning | <nowiki>*</nowiki> in 2.5.7.17 subgroup CTE tuning | ||
[[Category: | [[Category:Vengeance| ]] <!-- main article --> | ||
[[Category:Subgroup temperaments]] | [[Category:Subgroup temperaments]] | ||
[[Category:Rank-2 temperaments]] | [[Category:Rank-2 temperaments]] | ||