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17edo tetrachords: Difference between revisions

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VisualWikitext
Keenan Pepper (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
968 edits
label all the ajnas and add a couple notes about them
Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
m cleanup table syntax (remove empty style definitions)
Line 16: Line 16:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | degrees
! degrees
! | cents
! cents
! | name
! name
! | solfege
! solfege
|-
|-
| | 0
| 0
| | 0
| 0
| | unison
| unison
| | do
| do
|-
|-
| | 1
| 1
| | 71
| 71
| | minor second (a.k.a third-tone)
| minor second (a.k.a third-tone)
| | ra
| ra
|-
|-
| | 2
| 2
| | 141
| 141
| | neutral second (a.k.a. two-thirds-tone)
| neutral second (a.k.a. two-thirds-tone)
| | ru
| ru
|-
|-
| | 3
| 3
| | 212
| 212
| | major second (a.k.a. tone)
| major second (a.k.a. tone)
| | re
| re
|-
|-
| | 4
| 4
| | 282
| 282
| | minor third (a.k.a. subminor third)
| minor third (a.k.a. subminor third)
| | me
| me
|-
|-
| | 5
| 5
| | 353
| 353
| | neutral third
| neutral third
| | mu
| mu
|-
|-
| | 6
| 6
| | 424
| 424
| | major third (a.k.a. supermajor third)
| major third (a.k.a. supermajor third)
| | mi
| mi
|-
|-
| | 7
| 7
| | 494
| 494
| | perfect fourth
| perfect fourth
| | fa
| fa
|}
|}


Line 84: Line 84:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | tetrachord notation
! tetrachord notation
! | solfege
! solfege
! | name (suggestions?)
! name (suggestions?)
! | used in
! used in
|-
|-
| | 1-3-3
| 1-3-3
| | do ra me fa
| do ra me fa
| | phrygian (jins Kurd)
| phrygian (jins Kurd)
| | diatonic (phrygian)
| diatonic (phrygian)
|-
|-
| | 1-4-2
| 1-4-2
| | do ra mu fa
| do ra mu fa
| |  
|  
| |  
|  
|-
|-
| | 1-5-1
| 1-5-1
| | do ra mi fa
| do ra mi fa
| | balkan, jins Hijaz
| balkan, jins Hijaz
| |  
|  
|-
|-
| | 2-2-3
| 2-2-3
| | do ru me fa
| do ru me fa
| | jins Bayyati
| jins Bayyati
| | [[17edo neutral scale]] (led)
| [[17edo neutral scale]] (led)
|-
|-
| | 2-3-2
| 2-3-2
| | do ru mu fa
| do ru mu fa
| | "ʻIraq" tetrachord
| "ʻIraq" tetrachord
| | [[17edo neutral scale]] (bish, fish, jwl)
| [[17edo neutral scale]] (bish, fish, jwl)
|-
|-
| | 2-4-1
| 2-4-1
| | do ru mi fa
| do ru mi fa
| |  
|  
| |  
|  
|-
|-
| | 3-1-3
| 3-1-3
| | do re me fa
| do re me fa
| | aeolian (jins Nahawand)
| aeolian (jins Nahawand)
| | diatonic (aolian, dorian) ; [[scorp]] (mode 3)
| diatonic (aolian, dorian) ; [[scorp]] (mode 3)
|-
|-
| | 3-2-2
| 3-2-2
| | do re mu fa
| do re mu fa
| | jins Rast
| jins Rast
| | [[17edo neutral scale]] (dril, gil, kleeth)
| [[17edo neutral scale]] (dril, gil, kleeth)
|-
|-
| | 3-3-1
| 3-3-1
| | do re mi fa
| do re mi fa
| | ionian (jins ʻAjam)
| ionian (jins ʻAjam)
| | diatonic (ionian, mixolydian)
| diatonic (ionian, mixolydian)
|}
|}


Line 143: Line 143:
{| class="wikitable"
{| class="wikitable"
|-
|-
! |
!  
! | ra
! ra
! | ru
! ru
! | re
! re
|-
|-
| | me
| me
| | 1-3-3
| 1-3-3
| | 2-2-3
| 2-2-3
| | 3-1-3
| 3-1-3
|-
|-
| | mu
| mu
| | 1-4-2
| 1-4-2
| | 2-3-2
| 2-3-2
| | 3-2-2
| 3-2-2
|-
|-
| | mi
| mi
| | 1-5-1
| 1-5-1
| | 2-4-1
| 2-4-1
| | 3-3-1
| 3-3-1
|}
|}


Line 169: Line 169:
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1-1-5
| 1-1-5
| | 2-1-4
| 2-1-4
| | '''3-1-3'''
| '''3-1-3'''
| | 4-1-2
| 4-1-2
| | 5-1-1
| 5-1-1
|-
|-
| | 1-2-4
| 1-2-4
| | '''2-2-3'''
| '''2-2-3'''
| | '''3-2-2'''
| '''3-2-2'''
| | 4-2-1
| 4-2-1
| |  
|  
|-
|-
| | '''1-3-3'''
| '''1-3-3'''
| | '''2-3-2'''
| '''2-3-2'''
| | '''3-3-1'''
| '''3-3-1'''
| |  
|  
| |  
|  
|-
|-
| | '''1-4-2'''
| '''1-4-2'''
| | '''2-4-1'''
| '''2-4-1'''
| |  
|  
| |  
|  
| |  
|  
|-
|-
| | '''1-5-1'''
| '''1-5-1'''
| |  
|  
| |  
|  
| |  
|  
| |  
|  
|}
|}
Thus, by allowing multiples seconds or multiple thirds, we add 6 new tetrachords to our 9 primary tetrachords, for a total of 15. Our new ones:
Thus, by allowing multiples seconds or multiple thirds, we add 6 new tetrachords to our 9 primary tetrachords, for a total of 15. Our new ones:
Line 203: Line 203:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | tetrachord notation
! tetrachord notation
! | solfege
! solfege
! | name (suggestions?)
! name (suggestions?)
! | used in
! used in
|-
|-
| | 1-1-5
| 1-1-5
| | do ra ru fa
| do ra ru fa
| |  
|  
| |  
|  
|-
|-
| | 1-2-4
| 1-2-4
| | do ra re fa
| do ra re fa
| |  
|  
| |  
|  
|-
|-
| | 2-1-4
| 2-1-4
| | do ru re fa
| do ru re fa
| |  
|  
| |  
|  
|-
|-
| | 4-1-2
| 4-1-2
| | do me mu fa
| do me mu fa
| |  
|  
| |  
|  
|-
|-
| | 4-2-1
| 4-2-1
| | do me mi fa
| do me mi fa
| |  
|  
| |  
|  
|-
|-
| | 5-1-1
| 5-1-1
| | do mu mi fa
| do mu mi fa
| |  
|  
| |  
|  
|}
|}


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