128/125: Difference between revisions

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~~~~[[~~de:128~~/~~125~~|~~Deutsch~~]]~~~~

The 41.059 cent interval of '''128/125''' is called the '''diesis''' or '''augmented [[comma]]'''; it represents the gap between three [[5/4]] just major thirds and the [[octave]], or in other words 2/(5/4)^3. It is fairly accurately represented by a single step in [[28edo|28]], [[31edo|31]] or [[34edo|34]] EDO, and by two steps of [[53edo|53]], [[59edo|59]] or [[65edo|65]] EDO. In any tuning with just major thirds, such as [[quarter-comma meantone]], it will be exact. Furthermore, in quarter-comma meantone it appears as difference between sharps and flats, e.g. between D# and Eb. It is also called '''enharmonic comma''' for this reason. Tempering it out leads to [[Augmented_family|augmented temperament]].

The 41.059 cent interval of '''128/125''' is called the '''diesis''' or '''augmented [[Comma|comma]]'''; it represents the gap between three [[5/4|5/4]] just major thirds and the [[Octave|octave]], or in other words 2/(5/4)^3. It is fairly accurately represented by a single step in [[28edo|28]], [[31edo|31]] or [[34edo|34]] EDO, and by two steps of [[53edo|53]], [[59edo|59]] or [[65edo|65]]. In any tuning with just major, thirds, such as [[Quarter-comma_meantone|quarter comma meantone]], it will be exact. Furthermore, in quarter-comma.meantone it appears as difference between sharps and flats, e.g. between D# and Eb. It is also called '''enharmonic comma''' for this reason. Tempering it out leads to [[Augmented_family|augmented temperament]]. [[Category:5-limit]]

[[Category:5-limit]]

[[Category:comma]]

[[Category:diesis]]

[[de:128/125]]

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-<span style="display: block; text-align: right;">[[de:128/125|Deutsch]]</span><span style="display: block; text-align: left;">
+The 41.059 cent interval of '''128/125''' is called the '''diesis''' or '''augmented [[comma]]'''; it represents the gap between three [[5/4]] just major thirds and the [[octave]], or in other words 2/(5/4)^3. It is fairly accurately represented by a single step in [[28edo|28]], [[31edo|31]] or [[34edo|34]] EDO, and by two steps of [[53edo|53]], [[59edo|59]] or [[65edo|65]] EDO. In any tuning with just major thirds, such as [[quarter-comma meantone]], it will be exact. Furthermore, in quarter-comma meantone it appears as difference between sharps and flats, e.g. between D# and Eb. It is also called '''enharmonic comma''' for this reason. Tempering it out leads to [[Augmented_family|augmented temperament]].
-</span><span style="display: block; text-align: left;">The 41.059 cent interval of '''128/125''' is called the '''diesis''' or '''augmented [[Comma|comma]]'''; it represents the gap between three [[5/4|5/4]] just major thirds and the [[Octave|octave]], or in other words 2/(5/4)^3. It is fairly accurately represented by a single step in [[28edo|28]], [[31edo|31]] or [[34edo|34]] EDO, and by two steps of [[53edo|53]], [[59edo|59]] or [[65edo|65]]. In any tuning with just major, thirds, such as [[Quarter-comma_meantone|quarter comma meantone]], it will be exact. Furthermore, in quarter-comma.meantone it appears as difference between sharps and flats, e.g. between D# and Eb. It is also called '''enharmonic comma''' for this reason. Tempering it out leads to [[Augmented_family|augmented temperament]].</span>      [[Category:5-limit]]
+[[Category:5-limit]]
 [[Category:comma]]
 [[Category:diesis]]
+<!-- interwiki: links are being placed in the sidebar -->
+[[de:128/125]]