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| First and second [[EDO|edos]] to have N number of consistent thirds (range is [[15/13]] to [[13/10]], closest JI interpretation that is consistent in the edo’s [[odd limit]] is shown):
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| {|class="wikitable"
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| !rowspan="1"|Number of thirds!!rowspan="1"|First edo!!rowspan="1"|Thirds!!rowspan="1"|Second edo!!rowspan="1"|Thirds
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| |-
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| |0||[[1edo|1]]||None||[[2edo|2]]||None
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| |-
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| |1||[[3edo|3]]||[[5/4]]||[[4edo|4]]||[[6/5]]
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| |-
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| |2||[[5edo|5]]||[[7/6]], [[9/7]]||[[8edo|8]]||6/5, 5/4
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| |-
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| |3||[[15edo|15]]||7/6, 6/5, 5/4||[[18edo|18]]||7/6, 6/5, 5/4
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| |-
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| |4||[[19edo|19]]||7/6, 6/5, 5/4, 9/7||[[22edo|22]]||7/6, 6/5, 5/4, 9/7
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| |-
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| |5||[[26edo|26]]||7/6, 6/5, [[16/13]], [[14/11]], [[13/10]]||[[31edo|31]]||7/6, 6/5, 5/4, [[11/9]], 14/11
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| |-
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| |6||[[29edo|29]]||[[15/13]], [[13/11]], 6/5, 16/13, 14/11, 13/10||(41)||(~)
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| |-
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| |7||(41)||(~)||(58)||(~)
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| |-
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| |8||(41)||(~)||(58)||(~)
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| |9||[[41edo|41]]||15/13, 7/6, 13/11, 6/5, 11/9, 5/4, 14/11, 9/7, 13/10||(58)||(~)
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| |10||[[58edo|58]]||15/13, 7/6, 13/11, 6/5, [[17/14]], 11/9, 5/4, 14/11, 9/7, 13/10||(72)||(~)
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| |11||[[72edo|72]]||15/13, 7/6, [[20/17]], 6/5, 17/14, 11/9, 16/13, 5/4, 14/11, 9/7, [[22/17]]||(80)||(~)
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| |12||(80)||(~)||(94)||(~)
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| |13||[[80edo|80]]||[[22/19]], 7/6, 20/17, [[19/16]], 6/5, 17/14, 11/9, 16/13, 5/4, [[24/19]], 14/11, 9/7, 22/17||(94)||(~)
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| |-
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| |14||(94)||(~)||||
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| |15||(94)||(~)||||
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| |16||[[94edo|94]]||[[23/20]], 22/19, 7/6, 20/17, 19/16, 6/5, [[23/19]], 11/9, 16/13, 26/21, 5/4, [[19/15]], [[23/18]], 9/7, 22/17, [[30/23]]||||
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| |}
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| This list could be used to get the minimal edos to add more flavours (of thirds).
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