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If one ignores primes and focuses on integers in general, 26ed5 can instead be used as a strong tuning for the giant [[subgroup]]:
If one ignores primes and focuses on integers in general, 26ed5 can instead be used as a strong tuning for the giant [[subgroup]]:


'''5.6.12.22.32.44.49.52.56.63.'''
'''5.6.12.22.32.44.49.52.56'''


'''72.81.91.98.104.110.117.126'''
'''63.81.91.98.104.117.126'''


Or it can be a strong tuning for any smaller subgroup that is contained within that group.
Or it can be a strong tuning for any smaller subgroup that is contained within that group.
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*Only [[basis element]]s within the 50 [[integer limit]]: 5.6.12.22.32.44.49
*Only [[basis element]]s within the 50 [[integer limit]]: 5.6.12.22.32.44.49
*Only 6 and odd basis elements: 5.6.49.63.81.91.117
*Only 6 and odd basis elements: 5.6.49.63.81.91.117
*Only [[7-limit]] basis elements: 5.6.12.32.49.56.63.72.81.98.126
*Only [[7-limit]] basis elements: 5.6.12.32.49.56.63.81.98.126
* Only [[11-limit]] basis elements: 5.6.12.22.32.44.49.56.63.72.81.98.110.126
* Only [[11-limit]] basis elements: 5.6.12.22.32.44.49.56.63.81.98.126
====Tables of harmonics====
====Tables of harmonics====
{{Harmonics in equal
{{Harmonics in equal
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|17/15
|17/15
|
|
|25/22
|34/30, 25/22
|25/22
|17/15, 25/22
|-
|-
!3
!3
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|28/15
|28/15
|13/7
|13/7
|63/34
|104/56
|63/34
|13/7
|-
|-
!11
!11
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|38/15
|38/15
|
|
|56/22
|56/22, 30/12
|28/11
|28/11, 5/2
|-
|-
!16
!16
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|+
|+
The 13ed5plus scale
The 13ed5plus scale
! rowspan="2" |Step
!Step
! rowspan="2" |Cents
!Cents
! colspan="7" |Just intonation approximation
!JI approximation  
|-
<small>(5.6.12.22… subgroup;</small>
!60th-basis
 
!68th-basis
<small>ratios simplified)</small>
!88th-basis
!90th-basis
!112th-basis
!Integer <br>(5.6.12.22.32... <br>as above)
!Integer <br>(simplified)
|-
|-
!1
|1
!107.2
|107.2
|16/15
|18/17
|47/44
|16/15
|
|36/34, 34/32
|18/17, 17/16
|18/17, 17/16
|-
|-
!3
|3
!321.5
|321.5
|6/5
|41/34
|53/44
|6/5
|
|6/5
|6/5
|6/5
|-
|-
!5
|5
!535.8
|535.8
|41/30
|
|15/11
|41/30
|19/14
|(6/5)x(25/22)
|15/11
|15/11
|-
|-
!7
|7
!750.2
|750.2
|23/15
|
|17/11
|23/15
|54/35
|34/22
|17/11
|17/11
|-
|-
!9
|9
!964.5
|964.5
|7/4
|7/4
|7/4
|26/15
|7/4
|56/32
|7/4
|7/4
|-
|-
!11
|11
!1178.8
|1178.8
|
|67/34
|
|
|
|49/25
|49/25
|49/25
|-
|-
!13
|13
!1393.2
|1393.2
|9/4
|9/4
|9/4
|
|9/4
|81/36
|9/4
|9/4
|-
|-
!15
|15
!1607.5
|1607.5
|38/15
|28/11, 5/2
|43/17
|28/11
|38/15
|
|56/22
|28/11
|-
|-
!17
|17
!1821.8
|1821.8
|43/15
|
|63/22
|43/15
|20/7
|63/22
|63/22
|63/22
|-
|-
!19
|19
!2036.2
|2036.2
|13/4
|13/4
|13/4
|
|13/4
|104/32
|13/4
|13/4
|-
|-
!21
|21
!2250.5
|2250.5
|11/3
|
|
|11/3
|
|22/6
|11/3
|11/3
|-
|-
!23
|23
!2464.8
|2464.8
|25/6
|25/6
|25/6
|25/6
|29/7, 25/6
|25/6
|25/6
|25/6
|-
|-
!25
|25
!2679.1
|2679.1
|47/10
|80/17
|
|47/10
|33/7
|
|
|
|-
|-
!26
|26
!2786.3
|2786.3
|5/1
|5/1
|5/1
|5/1
|5/1
|5/1
|5/1
|5/1
|}
|}
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