User:PiotrGrochowski/105edo: Difference between revisions

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<span style="font-family: 'Verdana';"><center><big><big><big>''105edo, the wonderful meantone</span></center></big></big></big>''


<center><span style="font-family: 'Consolas';" style="font-size: 105%;">105edo belongs to a meantonic 13–limit system known as grosstone, can be considered an expanded version of [[43edo]] just like how [[94edo-a|94edo]] is an expanded version of [[41edo]].</center></span>
<center><span style="font-family: 'Consolas';"><span style="font-size: 105%;">105edo belongs to a meantonic 13–limit system known as grosstone, can be considered an expanded version of [[43edo]] just like how [[94edo-a|94edo]] is an expanded version of [[41edo]].


<span style="font-family: 'Verdana';"><center><big><big><big>''105edo, the wonderful meantone</span></center></big></big></big>''
==Selected just intervals by error==
The following table shows how [[15-odd-limit|some prominent just intervals]] are represented in 105edo (ordered by absolute error).
 
{| class="wikitable"
|-
| | '''Interval, complement'''
| | '''Error (abs., in [[cent]]s)'''
|-
| style="text-align:center;" | [[15/11]], [[22/15]]
| style="text-align:center;" | 0.192
|-
| style="text-align:center;" | [[7/5]], [[10/7]]
| style="text-align:center;" | 0.345
|-
| style="text-align:center;" | [[12/11]], [[11/6]]
| style="text-align:center;" | 2.066
|-
| style="text-align:center;" | [[5/4]], [[8/5]]
| style="text-align:center;" | 2.258
|-
| style="text-align:center;" | [[16/15]], [[15/8]]
| style="text-align:center;" | 2.554
|-
| style="text-align:center;" | [[14/13]], [[13/7]]
| style="text-align:center;" | 2.584
|-
| style="text-align:center;" | [[8/7]], [[7/4]]
| style="text-align:center;" | 2.603
|-
| style="text-align:center;" | [[11/8]], [[16/11]]
| style="text-align:center;" | 2.747
|-
| style="text-align:center;" | [[13/10]], [[20/13]]
| style="text-align:center;" | 2.929
|-
| style="text-align:center;" | [[4/3]], [[3/2]]
| style="text-align:center;" | 4.812
|-
| style="text-align:center;" | [[11/10]], [[20/11]]
| style="text-align:center;" | 5.004
|-
| style="text-align:center;" | [[15/14]], [[28/15]]
| style="text-align:center;" | 5.157
|-
| style="text-align:center;" | [[16/13]], [[13/8]]
| style="text-align:center;" | 5.187
|-
| style="text-align:center;" | [[14/11]], [[11/7]]
| style="text-align:center;" | 5.349
|-
| style="text-align:center;" | [[11/9]], [[18/11]]
| style="text-align:center;" | 6.878
|-
| style="text-align:center;" | [[6/5]], [[5/3]]
| style="text-align:center;" | 7.07
|-
| style="text-align:center;" | [[7/6]], [[12/7]]
| style="text-align:center;" | 7.415
|-
| style="text-align:center;" | [[15/13]], [[26/15]]
| style="text-align:center;" | 7.741
|-
| style="text-align:center;" | [[13/11]], [[22/13]]
| style="text-align:center;" | 7.933
|-
| style="text-align:center;" | [[9/8]], [[16/9]]
| style="text-align:center;" | 9.624
|-
| style="text-align:center;" | [[13/12]], [[24/13]]
| style="text-align:center;" | 9.999
|-
| style="text-align:center;" | [[10/9]], [[9/5]]
| style="text-align:center;" | 11.882
|-
| style="text-align:center;" | [[9/7]], [[14/9]]
| style="text-align:center;" | 12.227
|-
| style="text-align:center;" | [[18/13]], [[13/9]]
| style="text-align:center;" | 14.811
|}