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25edo: Difference between revisions

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Consolidate rank-2 temps and commas sections
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</imagemap>[[MisterShafXen’s 25edo notation]]
</imagemap>[[MisterShafXen’s 25edo notation]]


== Rank-2 temperaments ==
== Regular temperament properties ==
=== Rank-2 temperaments ===
{| class="wikitable"
{| class="wikitable"
|-
|-
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! "Sharp 3/2" temperaments
! "Sharp 3/2" temperaments
! "Flat 3/2" temperaments (25b val)
! "Flat 3/2" temperaments (25b val)
! MOS Scales
! MOS scales
|-
|-
| 1\25
| 1\25
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| 2\25
| 2\25
| 1
| 1
| [[Archytas clan#Passion|Passion]]
| [[Passion]]
|  
|  
| [[1L 11s]], [[12L 1s]]
| [[1L 11s]], [[12L 1s]]
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| 1
| 1
|  
|  
| [[Luna family#Luna|Luna]]/[[Didacus]]
| [[Luna]] / [[didacus]]
| [[1L 5s]], [[6L 1s]], [[6L 7s]], [[6L 13s]]
| [[1L 5s]], [[6L 1s]], [[6L 7s]], [[6L 13s]]
|-
|-
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| 1
| 1
|
|
| [[Subgroup temperaments#Gariberttet|Gariberttet]]
| [[Gariberttet]]
| [[4L 1s]], [[4L 5s]], [[4L 9s]], [[4L 13s]], [[4L 17s]]
| [[4L 1s]], [[4L 5s]], [[4L 9s]], [[4L 13s]], [[4L 17s]]
|-
|-
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| 1
| 1
|
|
| [[Archytas clan#Sixix|Sixix]]
| [[Sixix]]
| [[4L 3s]], [[7L 4s]], [[7L 11s]]
| [[4L 3s]], [[7L 4s]], [[7L 11s]]
|-
|-
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| 11\25
| 11\25
| 1
| 1
| [[Mabila_family#Mabila|Mabila]]/[[Trismegistus]]
| [[Mabila]] / [[trismegistus]]
| [[Armodue]]/[[Pelogic family#Pelogic|Pelogic]](25bd)
| [[Armodue]] / [[Pelogic]] (25bd)
| [[2L 3s]], [[2L 5s]], [[7L 2s]], [[9L 7s]]
| [[2L 3s]], [[2L 5s]], [[7L 2s]], [[9L 7s]]
|-
|-
| 12\25
| 12\25
| 1
| 1
| [[Marvel temperaments#Tritonic|Tritonic]]
| [[Tritonic]]
| [[Marvel temperaments#Triton|Triton]]
| [[Triton]]
| [[2L 3s]], [[2L 5s]], [[2L 7s]], [[2L 9s]], [[2L 11s]], [[2L 13s]], [[2L 15s]], [[2L 17s]], [[2L 19s]], [[2L 21s]]
| [[2L 3s]], [[2L 5s]], [[2L 7s]], [[2L 9s]], [[2L 11s]], [[2L 13s]], [[2L 15s]], [[2L 17s]], [[2L 19s]], [[2L 21s]]
|-
|-
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|}
|}


== Scales ==
=== Commas ===
 
; [[Antipental blues]]
 
; 6 4 2 3 5 5
 
Approximated from a [[hexatonic]] subset of the [[dwarf17marv]] scale. Contains lots of [[consonance]]s from the 2.3.7.11 [[subgroup]] while excluding the familiar [[harmonic]] 5.
 
 
; [[Armodue]]/[[pelogic]][5]
 
; 3 3 8 3 8
 
A [[pentatonic]] and [[MOS]] scale somewhat resembling [[pelog]].
 
 
; Armodue/pelogic[9]
 
; 3 3 2 3 3 3 2 2 3 3
 
A [[:Category:9-tone scales|9-tone]] MOS scale somewhat resembling pelog.
 
 
; [[Equipentatonic]]
 
; 5 5 5 5 5
 
Somewhat resembles [[slendro]]. Is the [[blacksmith]]/[[blackwood]][5] MOS. Is the same as [[5edo]].
 
 
; [[Mabila]]/[[trismegistus]] justified pentatonic
 
; 3 3 9 2 8
 
A pentatonic subset of the mabila/trismegistus[16] MOS scale, it is those temperaments' pentatonic MOS, but with their complex 3/2 substituted in.
 
 
; Mabila/trismegistus justified nonatonic
 
; 3 3 2 3 4 2 2 2 3 3
 
A 9-tone subset of the mabila/trismegistus[16] MOS scale, it is those temperaments' 9-tone MOS, but with their complex 3/2 substituted in.
 
 
; [[Magic]][13]
 
; 1 1 5 1 1 1 5 1 1 1 5 1 1
 
A [[:Category:13-tone scales|13-tone]] MOS scale. A useful starting point for a [[scalesmith]] to find [[MODMOS]]es, or to find 4- to 9-tone subsets.
 
 
; Amulet{{idiosyncratic}}
 
; 2 1 2 2 1 2 3 2 2 1 2 3 2
 
A MODMOS of Magic[13]. It is the same as Magic[13], but with 4 tones shifted over by one [[chroma]] (the difference between MOS step sizes, in this case 4\25). This gives its intervals a more even spread, which makes it very useable as a chromatic-like scale. Can also be used to take 4- to 9-tone subsets.
 
 
; Fennec{{idiosyncratic}}
 
; 3 4 3 5 2 5 2
 
A subset of the amulet scale. Approximated from the original fennec scale of [[14edo]].
 
 
; [[Passion]][13]
 
; 2 2 2 2 2 2 1 2 2 2 2 2 2
 
A 13-tone MOS scale with a lot of consonances available. Can be used as a chromatic-like scale. Can also be used to take 4- to 9-tone subsets.
 
 
; Akebono I
 
; 4 2 9 4 6
 
A subset of the Passion[13] scale. Approximated from the original Akebono I scale of [[12edo]].
 
== Relationship to Armodue ==
Like [[16edo]] and [[23edo]], 25edo contains the 9-note superdiatonic scale of [[7L 2s]] (LLLsLLLLs) that is generated by a circle of heavily-flattened 3/2s (ranging in size from 5\9 or 666.67 cents, to 4\7 or 685.71 cents). The 25edo generator for this scale is the 672-cent interval. This allows 25edo to be used with the [[Armodue theory|Armodue]] notation system in much the same way that [[19edo]] is used with the standard diatonic notation; see the above interval chart for the Armodue names. Because the 25edo Armodue 6th is flatter than that of 16edo (the middle of the Armodue spectrum), sharps are lower in pitch than enharmonic flats.
 
== Commas ==
25et [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val| 25 40 58 70 86 93 }}.)
25et [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val| 25 40 58 70 86 93 }}.)


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|}
|}
<references/>
<references/>
== Scales ==
; [[Antipental blues]]
; 6 4 2 3 5 5
Approximated from a [[hexatonic]] subset of the [[dwarf17marv]] scale. Contains lots of [[consonance]]s from the 2.3.7.11 [[subgroup]] while excluding the familiar [[harmonic]] 5.
; [[Armodue]]/[[pelogic]][5]
; 3 3 8 3 8
A [[pentatonic]] and [[MOS]] scale somewhat resembling [[pelog]].
; Armodue/pelogic[9]
; 3 3 2 3 3 3 2 2 3 3
A [[:Category:9-tone scales|9-tone]] MOS scale somewhat resembling pelog.
; [[Equipentatonic]]
; 5 5 5 5 5
Somewhat resembles [[slendro]]. Is the [[blacksmith]]/[[blackwood]][5] MOS. Is the same as [[5edo]].
; [[Mabila]]/[[trismegistus]] justified pentatonic
; 3 3 9 2 8
A pentatonic subset of the mabila/trismegistus[16] MOS scale, it is those temperaments' pentatonic MOS, but with their complex 3/2 substituted in.
; Mabila/trismegistus justified nonatonic
; 3 3 2 3 4 2 2 2 3 3
A 9-tone subset of the mabila/trismegistus[16] MOS scale, it is those temperaments' 9-tone MOS, but with their complex 3/2 substituted in.
; [[Magic]][13]
; 1 1 5 1 1 1 5 1 1 1 5 1 1
A [[:Category:13-tone scales|13-tone]] MOS scale. A useful starting point for a [[scalesmith]] to find [[MODMOS]]es, or to find 4- to 9-tone subsets.
; Amulet{{idiosyncratic}}
; 2 1 2 2 1 2 3 2 2 1 2 3 2
A MODMOS of Magic[13]. It is the same as Magic[13], but with 4 tones shifted over by one [[chroma]] (the difference between MOS step sizes, in this case 4\25). This gives its intervals a more even spread, which makes it very useable as a chromatic-like scale. Can also be used to take 4- to 9-tone subsets.
; Fennec{{idiosyncratic}}
; 3 4 3 5 2 5 2
A subset of the amulet scale. Approximated from the original fennec scale of [[14edo]].
; [[Passion]][13]
; 2 2 2 2 2 2 1 2 2 2 2 2 2
A 13-tone MOS scale with a lot of consonances available. Can be used as a chromatic-like scale. Can also be used to take 4- to 9-tone subsets.
; Akebono I
; 4 2 9 4 6
A subset of the Passion[13] scale. Approximated from the original Akebono I scale of [[12edo]].
== Relationship to Armodue ==
Like [[16edo]] and [[23edo]], 25edo contains the 9-note superdiatonic scale of [[7L 2s]] (LLLsLLLLs) that is generated by a circle of heavily-flattened 3/2s (ranging in size from 5\9 or 666.67 cents, to 4\7 or 685.71 cents). The 25edo generator for this scale is the 672-cent interval. This allows 25edo to be used with the [[Armodue theory|Armodue]] notation system in much the same way that [[19edo]] is used with the standard diatonic notation; see the above interval chart for the Armodue names. Because the 25edo Armodue 6th is flatter than that of 16edo (the middle of the Armodue spectrum), sharps are lower in pitch than enharmonic flats.


== Keyboard layout ==
== Keyboard layout ==
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