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Stein–Zimmermann–Gould notation: Difference between revisions

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== Detail ==
== Detail ==
Below is a table showing the characteristics of each edo in the context of heptatonic ups and downs notation.  
Below is a table showing the characteristics of each ET in the context of heptatonic ups and downs notation.  


Each row represents the step size of a sharp/flat, to be called "sharp value" below. The sharp value is the basic category to determine the symbol set to be used.  
Each row represents the step size of a sharp/flat, to be called "sharp value" below. The sharp value is the basic category to determine the symbol set to be used.  
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{| class="wikitable"
{| class="wikitable"
|+Sharp value \ step size of a small tone
|+Sharp value \ step size of a small tone
|
!|
|'''-2'''
!|-2
|'''-1'''
!|-1
|'''0'''
!|0
|'''1'''
!|1
|'''2'''
!|2
|'''3'''
!|3
|'''4'''
!|4
|'''5'''
!|5
|'''6'''
!|6
|'''7'''
!|7
|'''8'''
!|8
|-
|-
|'''-3'''
!|-3
|
|
|
|
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|
|
|-
|-
|'''-2'''
!|-2
|
|
|
|
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|
|
|-
|-
|'''-1'''
!|-1
|
|
|
|
Line 70: Line 70:
|
|
|-
|-
|'''0'''
!|0
|
|
|
|
Line 83: Line 83:
|
|
|-
|-
|'''1'''
!|1
|
|
|
|
Line 96: Line 96:
|
|
|-
|-
|'''2'''
!|2
|
|
|3
|3
Line 109: Line 109:
|
|
|-
|-
|'''3'''
!|3
|1
|1
|8
|8
Line 122: Line 122:
|71b
|71b
|-
|-
|'''4'''
!|4
|6
|6
|13
|13
Line 135: Line 135:
|…
|…
|-
|-
|'''5'''
!|5
|11b
|11b
|18
|18
Line 148: Line 148:
|
|
|-
|-
|'''6'''
!|6
|
|
|23b
|23b
Line 161: Line 161:
|
|
|-
|-
|'''7'''
!|7
|
|
|
|
Line 174: Line 174:
|
|
|-
|-
|'''8'''
!|8
|
|
|
|
Line 187: Line 187:
|
|
|-
|-
|'''9'''
!|9
|
|
|
|
Line 200: Line 200:
|
|
|-
|-
|'''10'''
!|10
|
|
|
|
Line 223: Line 223:


{| class="wikitable"
{| class="wikitable"
|Step offset
!|Step offset
| '''+2'''
| +2
| '''+1'''
| +1
| '''0'''
| 0
| '''-1'''
| -1
| '''-2'''
| -2
|-
|-
|Symbol
!|Symbol
|[[File:accidental doublesharp.png]]
|[[File:accidental doublesharp.png]]
|[[File:accidental sharp.png]]
|[[File:accidental sharp.png]]
Line 243: Line 243:


{| class="wikitable"
{| class="wikitable"
|Step offset
!|Step offset
| '''+4'''
| +4
| +3
| +3
| '''+2'''
| +2
| +1
| +1
| '''0'''
| 0
| -1
| -1
| '''-2'''
| -2
| -3
| -3
| '''-4'''
| -4
|-
|-
|Symbol
!|Symbol
|[[File:accidental doublesharp.png]]
|[[File:accidental doublesharp.png]]
|[[File:accidental sesquisharp.png]]
|[[File:accidental sesquisharp.png]]
Line 271: Line 271:


{| class="wikitable"
{| class="wikitable"
|Step offset
!|Step offset
| 7
| 7
| '''6'''
| '''6'''
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| '''0'''
| '''0'''
|-
|-
|Sharp symbol
!|Sharp symbol
|[[File:accidental doublesharp up.png]]
|[[File:accidental doublesharp up.png]]
|[[File:accidental doublesharp.png]]
|[[File:accidental doublesharp.png]]
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|[[File:accidental sharp down.png]]
|[[File:accidental sharp down.png]]
|[[File:accidental natural up.png]]
|[[File:accidental natural up.png]]
|[[File:accidental natural.png]]
| rowspan="2" |[[File:accidental natural.png]]
|-
|-
|Flat symbol
!|Flat symbol
|[[File:accidental doubleflat down.png]]
|[[File:accidental doubleflat down.png]]
|[[File:accidental doubleflat.png]]
|[[File:accidental doubleflat.png]]
Line 299: Line 299:
|[[File:accidental flat up.png]]
|[[File:accidental flat up.png]]
|[[File:accidental natural down.png]]
|[[File:accidental natural down.png]]
|
|}
|}


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{| class="wikitable"
{| class="wikitable"
|Step offset
!|Step offset
| 9
| 9
| '''8'''
| '''8'''
Line 319: Line 318:
| '''0'''
| '''0'''
|-
|-
|Sharp symbol
!|Sharp symbol
|[[File:accidental doublesharp up.png]]
|[[File:accidental doublesharp up.png]]
|[[File:accidental doublesharp.png]]
|[[File:accidental doublesharp.png]]
Line 329: Line 328:
|[[File:accidental semisharp.png]]
|[[File:accidental semisharp.png]]
|[[File:accidental natural up.png]]
|[[File:accidental natural up.png]]
|[[File:accidental natural.png]]
| rowspan="2" |[[File:accidental natural.png]]
|-
|-
|Flat symbol
!|Flat symbol
|[[File:accidental doubleflat down.png]]
|[[File:accidental doubleflat down.png]]
|[[File:accidental doubleflat.png]]
|[[File:accidental doubleflat.png]]
Line 341: Line 340:
|[[File:accidental semiflat.png]]
|[[File:accidental semiflat.png]]
|[[File:accidental natural down.png]]
|[[File:accidental natural down.png]]
|
|}
|}


Line 354: Line 352:
'''Sharp-5'''
'''Sharp-5'''
{| class="wikitable"
{| class="wikitable"
|Step offset
!|Step offset
| 12
| 12
| 11
| 11
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| '''0'''
| '''0'''
|-
|-
|Sharp symbol
!|Sharp symbol
|[[File:accidental doublesharp up2.png]]
|[[File:accidental doublesharp up2.png]]
|[[File:accidental doublesharp up1.png]]
|[[File:accidental doublesharp up1.png]]
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|[[File:accidental natural up2.png]]
|[[File:accidental natural up2.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural.png]]
| rowspan="2" |[[File:accidental natural.png]]
|-
|-
|Flat symbol
!|Flat symbol
|[[File:accidental doubleflat down2.png]]
|[[File:accidental doubleflat down2.png]]
|[[File:accidental doubleflat down1.png]]
|[[File:accidental doubleflat down1.png]]
Line 397: Line 395:
|[[File:accidental natural down2.png]]
|[[File:accidental natural down2.png]]
|[[File:accidental natural down1.png]]
|[[File:accidental natural down1.png]]
|
|}
|}


'''Sharp-6'''
'''Sharp-6'''
{| class="wikitable"
{| class="wikitable"
|Step offset
!|Step offset
| 14
| 14
| 13
| 13
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| '''0'''
| '''0'''
|-
|-
|Sharp symbol
!|Sharp symbol
|[[File:accidental doublesharp up2.png]]
|[[File:accidental doublesharp up2.png]]
|[[File:accidental doublesharp up1.png]]
|[[File:accidental doublesharp up1.png]]
Line 434: Line 431:
|[[File:accidental natural up2.png]]
|[[File:accidental natural up2.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural.png]]
| rowspan="2" |[[File:accidental natural.png]]
|-
|-
|Flat symbol
!|Flat symbol
|[[File:accidental doubleflat down2.png]]
|[[File:accidental doubleflat down2.png]]
|[[File:accidental doubleflat down1.png]]
|[[File:accidental doubleflat down1.png]]
Line 451: Line 448:
|[[File:accidental natural down2.png]]
|[[File:accidental natural down2.png]]
|[[File:accidental natural down1.png]]
|[[File:accidental natural down1.png]]
|
|}
|}


'''Sharp-7'''
'''Sharp-7'''
{| class="wikitable"
{| class="wikitable"
|Step offset
!|Step offset
| 17
| 17
| 16
| 16
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| '''0'''
| '''0'''
|-
|-
|Sharp symbol
!|Sharp symbol
|[[File:accidental doublesharp up3.png]]
|[[File:accidental doublesharp up3.png]]
|[[File:accidental doublesharp up2.png]]
|[[File:accidental doublesharp up2.png]]
Line 494: Line 490:
|[[File:accidental natural up2.png]]
|[[File:accidental natural up2.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural.png]]
| rowspan="2" |[[File:accidental natural.png]]
|-
|-
|Flat symbol
!|Flat symbol
|[[File:accidental doubleflat down3.png]]
|[[File:accidental doubleflat down3.png]]
|[[File:accidental doubleflat down2.png]]
|[[File:accidental doubleflat down2.png]]
Line 514: Line 510:
|[[File:accidental natural down2.png]]
|[[File:accidental natural down2.png]]
|[[File:accidental natural down1.png]]
|[[File:accidental natural down1.png]]
|
|}
|}


'''Sharp-8'''
'''Sharp-8'''
{| class="wikitable"
{| class="wikitable"
|Step offset
!|Step offset
| 19
| 19
| 18
| 18
Line 541: Line 536:
| '''0'''
| '''0'''
|-
|-
|Sharp symbol
!|Sharp symbol
|[[File:accidental doublesharp up3.png]]
|[[File:accidental doublesharp up3.png]]
|[[File:accidental doublesharp up2.png]]
|[[File:accidental doublesharp up2.png]]
Line 561: Line 556:
|[[File:accidental natural up2.png]]
|[[File:accidental natural up2.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural.png]]
| rowspan="2" |[[File:accidental natural.png]]
|-
|-
|Flat symbol
!|Flat symbol
|[[File:accidental doubleflat down3.png]]
|[[File:accidental doubleflat down3.png]]
|[[File:accidental doubleflat down2.png]]
|[[File:accidental doubleflat down2.png]]
Line 583: Line 578:
|[[File:accidental natural down2.png]]
|[[File:accidental natural down2.png]]
|[[File:accidental natural down1.png]]
|[[File:accidental natural down1.png]]
|
|}
|}


Line 593: Line 587:


{| class="wikitable"
{| class="wikitable"
|Step offset
!|Step offset
| '''+2'''
| +2
| '''+1'''
| +1
| '''0'''
| 0
| '''-1'''
| -1
| '''-2'''
| -2
|-
|-
|Symbol
!|Symbol
|[[File:accidental doubleflat.png]]
|[[File:accidental doubleflat.png]]
|[[File:accidental flat.png]]
|[[File:accidental flat.png]]
Line 611: Line 605:


{| class="wikitable"
{| class="wikitable"
|Step offset
!|Step offset
| '''+4'''
| +4
| +3
| +3
| '''+2'''
| +2
| +1
| +1
| '''0'''
| 0
| -1
| -1
| '''-2'''
| -2
| -3
| -3
| '''-4'''
| -4
|-
|-
|Symbol
!|Symbol
|[[File:accidental doubleflat.png]]
|[[File:accidental doubleflat.png]]
|[[File:accidental sesquiflat.png]]
|[[File:accidental sesquiflat.png]]
Line 642: Line 636:
'''14- and 21-ET'''
'''14- and 21-ET'''
{| class="wikitable"
{| class="wikitable"
|Step offset
!|Step offset
| +1
| +1
| '''0'''
| 0
| -1
| -1
|-
|-
|Symbol
!|Symbol
|[[File:accidental natural up.png]]
|[[File:accidental natural up.png]]
|[[File:accidental natural.png]]
|[[File:accidental natural.png]]
Line 655: Line 649:
'''28- and 35-ET'''
'''28- and 35-ET'''
{| class="wikitable"
{| class="wikitable"
|Step offset
!|Step offset
| +2
| +2
| +1
| +1
| '''0'''
| 0
| -1
| -1
| -2
| -2
|-
|-
|Symbol
!|Symbol
|[[File:accidental natural up2.png]]
|[[File:accidental natural up2.png]]
|[[File:accidental natural up1.png]]
|[[File:accidental natural up1.png]]
Line 676: Line 670:
Sharp value higher than 9 cannot be notated at all.  
Sharp value higher than 9 cannot be notated at all.  


Sometimes the symbols available are not sufficient for every key of an ET. When the max step offset of an ET exceeds its accidental symbol set, some of the keys are capped from its full strength.  
Sometimes the symbols available are not sufficient for every key of an ET. When the max step offset of an ET exceeds its accidental symbol set, some of the keys are capped from its full strength. This occurs with ETs that have a very flat fifth. 


[[Category:Notation]]
[[Category:Notation]]
Retrieved from "https://en.xen.wiki/w/Stein–Zimmermann–Gould_notation"