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| Minimal edos to have N number of 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"|[[Edo]]!!rowspan="1"|Thirds
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| |-
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| |0||[[0edo|0]] or [[1edo|1]]||None
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| |-
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| |1||[[3edo|3]]||[[5/4]]
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| |-
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| |2||[[5edo|5]]||[[7/6]], [[9/7]]
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| |-
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| |3||[[15edo|15]]||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
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| |-
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| |5||[[26edo|26]]||7/6, 6/5, [[16/13]], [[14/11]], [[13/10]]
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| |-
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| |6||[[29edo|29]]||[[15/13]], [[13/11]], 6/5, 16/13, 14/11, 13/10
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| |-
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| |7||(41)||(~)
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| |-
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| |8||(41)||(~)
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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
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| |-
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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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