Bird's eye view of temperaments by accuracy: Difference between revisions
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For example, you can '''input''' 44\111 '''in''' [[Scale Workshop]] '''by hovering over "New scale" on the left, then pressing "Rank-2 temperament", then entering''' (e.g.) 44\111 '''in the "Generator" input field'''. | For example, you can '''input''' 44\111 '''in''' [[Scale Workshop]] '''by hovering over "New scale" on the left, then pressing "Rank-2 temperament", then entering''' (e.g.) 44\111 '''in the "Generator" input field'''. | ||
You will then get a list of "MOS sizes" to pick from before pressing "OK" to generate the scale. The importance of this is that picking from this list gives you a [[MOS scale]] which has certain properties that make its usage more regular and predictable than picking some number of notes not in that list, though ''note the list of MOS sizes is sometimes incomplete on Scale Workshop'', which is why | You will then get a list of "MOS sizes" to pick from before pressing "OK" to generate the scale. The importance of this is that picking from this list gives you a [[MOS scale]] which has certain properties that make its usage more regular and predictable than picking some number of notes not in that list, though ''note the list of MOS sizes is sometimes incomplete on Scale Workshop'' (if the list runs out of space), which is why another part of the standard format of temperaments documented here is ''x''L ''y''s MOS sizes, so that you can manually specify (''x'' + ''y'') notes as the number of notes if the MOS sizes list does not go far enough. | ||
{{ todo | example of an efficient and useful rank 2 temperament with a small generator that the MOS sizes list on Scale Workshop doesn't go far enough for }} | {{ todo | example of an efficient and useful rank 2 temperament with a small generator that the MOS sizes list on Scale Workshop doesn't go far enough for }} | ||
In some cases, the [[octave]] is not the period of the scale or is strongly recommended to be tempered, in which case you will instead see pairs; for example, for [[#Godzilla]] (which is strongly recommended to be tempered), it is (4\30<3>, 19\30<3>), | In some cases, the [[octave]] is not the period of the scale or is strongly recommended to be tempered, in which case you will instead see pairs; for example, for [[#Godzilla]] (which is strongly recommended to be tempered), it is (4\30<3>, 19\30<3>). This means that 4\30<3> goes in the "Generator" input field and 19\30<3> goes in the "Period" input field. (In the case of godzilla, this reflects tempering the octave sharp so that 3/1 is just in order to get various intervals of 3, 5, 7 and 13 more in tune as they are all tuned flat in [[19edo]]; very significantly so in the case of 7 and 13). | ||
Note that the generator tunings are listed in order of increasing accuracy, with the least accurate being the leftmost; the least accurate tuning is not required to satisfy the maximum cent error, so that a tone-efficient example is included, though the example should be unambiguously representative of the full scope of its harmony within reason. All tunings after it should thus be increasingly accurate so that it satisfies the tuning bounds indicated by the accuracy classification of the temperament (up to any indicated exceptions for the temperament). | |||
'''Once you have generated your MOS scale in Scale Workshop, you are ready to select a tuning file format from the right side; check which one is needed by your DAW/synthesizer.''' | |||
If you're having trouble, don't be afraid to ask in the [[Links#Discord_server|Xenharmonic Alliance Discord server]]! Remember to be persistent and patient. | |||
= Note counts = | = Note counts = | ||