41-odd-limit: Difference between revisions

Eufalesio (talk | contribs)
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Eufalesio (talk | contribs)
Proposed some names for the 41-odd-limit intervals, feel free to change them if they could be improved
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|'''Size ('''[[Cents|¢]]''')'''
|'''Size ('''[[Cents|¢]]''')'''
|Color name
|Color name
|Name
|-
|-
|42/41
|42/41
|41.719
|41.719
|fowuzo 2nd
|fowuzo 2nd
|quadragintaunimal inframinor second
|-
|-
|41/40
|41/40
|42.749
|42.749
|fowogu unison
|fowogu unison
|quadragintaunimal quartertone
|-
|-
|41/39
|41/39
|86.58
|86.58
|fowothu unison
|fowothu unison
|quadragintaunimal ultraprime
|-
|-
|44/41
|44/41
|122.256
|122.256
|fowulo 2nd
|fowulo 2nd
|quadragintaunimal lesser minor second
|-
|-
|41/38
|41/38
|131.549
|131.549
|fowonu unison
|fowonu unison
|quadragintaunimal hyperprime
|-
|-
|41/37
|41/37
|177.718
|177.718
|fowothisu unison
|fowothisu unison
|quadragintaunimal neutral second
|-
|-
|46/41
|46/41
|199.212
|199.212
|fowutwetho 3rd
|fowutwetho 3rd
|quadragintaunimal minor tone
|-
|-
|41/36
|41/36
|225.152
|225.152
|fowo 2nd
|fowo 2nd
|quadragintaunimal major tone
|-
|-
|48/41
|48/41
|272.893
|272.893
|fowu 3rd
|fowu 3rd
|quadragintaunimal subminor third
|-
|-
|41/35
|41/35
|273.923
|273.923
|foworugu 2nd
|foworugu 2nd
|quadragintaunimal ultramajor second
|-
|-
|41/34
|41/34
|324.107
|324.107
|fowosu 2nd
|fowosu 2nd
|quadragintaunimal minor third
|-
|-
|50/41
|50/41
|343.565
|343.565
|fowuyoyo 3rd
|fowuyoyo 3rd
|quadragintaunimal neutral third
|-
|-
|41/33
|41/33
|375.789
|375.789
|fowolu 3rd
|fowolu 3rd
|quadragintaunimal submajor third
|-
|-
|52/41
|52/41
|411.465
|411.465
|fowutho 4th
|fowutho 4th
|quadragintaunimal lesser major third
|-
|-
|41/32
|41/32
|429.062
|429.062
|fowo 3rd
|fowo 3rd
|quadragintaunimal greater major third
|-
|-
|54/41
|54/41
|476.803
|476.803
|fowu 4th
|fowu 4th
|quadragintaunimal lesser minor fourth
|-
|-
|41/31
|41/31
|484.027
|484.027
|fowothiwu 4th
|fowothiwu 4th
|quadragintaunimal greater minor fourth
|-
|-
|56/41
|56/41
|539.764
|539.764
|fowuzo 5th
|fowuzo 5th
|quadragintaunimal subdiminished fifth
|-
|-
|41/30
|41/30
|540.794
|540.794
|fowogu 4th
|fowogu 4th
|quadragintaunimal major fourth
|-
|-
|41/29
|41/29
|599.485
|599.485
|fowotwenu 4th
|fowotwenu 4th
|quadragintaunimal lesser tritone
|-
|-
|58/41
|58/41
|600.515
|600.515
|fowutweno 5th
|fowutweno 5th
|quadragintaunimal greater tritone
|-
|-
|60/41
|60/41
|659.206
|659.206
|fowuyo 5th
|fowuyo 5th
|quadragintaunimal lesser minor fifth
|-
|-
|41/28
|41/28
|660.236
|660.236
|foworu 4th
|foworu 4th
|quadragintaunimal superaugmented fourth
|-
|-
|62/41
|62/41
|715.973
|715.973
|fowuthiwo 5th
|fowuthiwo 5th
|quadragintaunimal lesser major fifth
|-
|-
|41/27
|41/27
|723.197
|723.197
|fowo 5th
|fowo 5th
|quadragintaunimal greater major fifth
|-
|-
|64/41
|64/41
|770.938
|770.938
|fowu 6th
|fowu 6th
|quadragintaunimal lesser minor sixth
|-
|-
|41/26
|41/26
|788.535
|788.535
|fowothu 5th
|fowothu 5th
|quadragintaunimal augmented fifth
|-
|-
|66/41
|66/41
|824.211
|824.211
|fowulo 6th
|fowulo 6th
|quadragintaunimal greater minor sixth
|-
|-
|41/25
|41/25
|856.435
|856.435
|fowogugu 6th
|fowogugu 6th
|quadragintaunimal neutral sixth
|-
|-
|68/41
|68/41
|875.893
|875.893
|fowuso 7th
|fowuso 7th
|quadragintaunimal submajor sixth
|-
|-
|70/41
|70/41
|926.077
|926.077
|fowuzoyo 7th
|fowuzoyo 7th
|quadragintaunimal lesser major sixth
|-
|-
|41/24
|41/24
|927.107
|927.107
|fowo 6th
|fowo 6th
|quadragintaunimal greater major sixth
|-
|-
|72/41
|72/41
|974.848
|974.848
|fowu 7th
|fowu 7th
|quadragintaunimal lesser minor seventh
|-
|-
|41/23
|41/23
|1000.788
|1000.788
|fowotwethu 6th
|fowotwethu 6th
|quadragintaunimal hypermajor sixth
|-
|-
|74/41
|74/41
|1022.282
|1022.282
|fowuthiso octave
|fowuthiso octave
|quadragintaunimal greater minor seventh
|-
|-
|76/41
|76/41
|1068.451
|1068.451
|fowuno octave
|fowuno octave
|quadragintaunimal infraoctave
|-
|-
|41/22
|41/22
|1077.744
|1077.744
|fowolu 7th
|fowolu 7th
|quadragintaunimal lesser major seventh
|-
|-
|78/41
|78/41
|1113.42
|1113.42
|fowutho octave
|fowutho octave
|quadragintaunimal greater major seventh
|-
|-
|80/41
|80/41
|1157.251
|1157.251
|fowuyo octave
|fowuyo octave
|quadragintaunimal ultramajor seventh
|-
|-
|41/21
|41/21
|1158.281
|1158.281
|foworu 7th
|foworu 7th
|quadragintaunimal ultramajor seventh
|}
|}
The smallest [[equal division of the octave]] which is consistent to the 41-odd-limit is [[311edo]]; that which is distinctly consistent to the same is [[20567edo]] (by virtue of it being distinctly consistent through the 57-odd-limit).
The smallest [[equal division of the octave]] which is consistent to the 41-odd-limit is [[311edo]]; that which is distinctly consistent to the same is [[20567edo]] (by virtue of it being distinctly consistent through the 57-odd-limit).