Talk:5- to 10-tone scales in 84edo: Difference between revisions
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m BudjarnLambeth moved page Talk:5- to 8-tone scales in 84edo to Talk:5- to 10-tone scales in 84edo: I had originally made these pages “5 to 8 tone scales” because I misremembered reading that there was something special about scales with 5 to 8 tones. On one of the wikifuture/wishlist pages, Inthar listed highlighting 5 to 10 tone scales as a goal, which I agree is a good idea, so I’m converting these articles to focus on 5 to 10 tone scales instead, in service of that. |
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:In the talk page for that same page, [[user:Inthar]] said: | :In the talk page for that same page, [[user:Inthar]] said: | ||
"''Let me explain my decision to single out MOS sizes from 5 to 10 and why I believe scales of these sizes should be given extra attention on the wiki. There's something called the trill threshold in human psychoacoustics which is about 23/20 (close to 1\5) according to the linked paper. It's where rapidly alternating between two notes stops sounding like a trill or a vibrato and starts sounding like two disconnected notes and is a natural boundary between "steps" and "leaps", or "seconds" and "thirds". | :"''Let me explain my decision to single out MOS sizes from 5 to 10 and why I believe scales of these sizes should be given extra attention on the wiki. There's something called the trill threshold in human psychoacoustics which is about 23/20 (close to 1\5) according to the linked paper. It's where rapidly alternating between two notes stops sounding like a trill or a vibrato and starts sounding like two disconnected notes and is a natural boundary between "steps" and "leaps", or "seconds" and "thirds".'' | ||
:In a scale for writing melodies in, though not all steps has to sound like seconds (it's not true for meantone[5]), at least one step should. Since a 5-note scale has average step size close to the trill threshold, 5 is a good lower bound. Since a 10-note scale, on average, will have two steps on the trill threshold, 10 notes is the size where two consecutive notes in scale will start sounding like chromatic alterations of the same note. (These arguments will hold more for MOSes for other scale types because of the regularity of MOSes.) I think we should include 10-note scales anyway, since some like blackwood[10] are commonly used in the community. | :''In a scale for writing melodies in, though not all steps has to sound like seconds (it's not true for meantone[5]), at least one step should. Since a 5-note scale has average step size close to the trill threshold, 5 is a good lower bound. Since a 10-note scale, on average, will have two steps on the trill threshold, 10 notes is the size where two consecutive notes in scale will start sounding like chromatic alterations of the same note. (These arguments will hold more for MOSes for other scale types because of the regularity of MOSes.) I think we should include 10-note scales anyway, since some like blackwood[10] are commonly used in the community.'' | ||
:MOSes of larger size such as meantone[12] would probably be used as gamuts to choose notes for melodic scales and choose notes for MODMOSes of smaller MOSes from. They could still have Scale Workshop links but given less focus on.''" | :''MOSes of larger size such as meantone[12] would probably be used as gamuts to choose notes for melodic scales and choose notes for MODMOSes of smaller MOSes from. They could still have Scale Workshop links but given less focus on.''" | ||
:For some reason, I had it in the back of my mind that I remembered reading something that said humans tend to be able to hold 5 to 8 'categories of thing' in our heads at once, and after that they start to blur into two different flavours of the same 'category', and that is why the majority of the world's musical cultures use mostly scales with 5 to 8 notes. | :For some reason, I had it in the back of my mind that I remembered reading something that said humans tend to be able to hold 5 to 8 'categories of thing' in our heads at once, and after that they start to blur into two different flavours of the same 'category', and that is why the majority of the world's musical cultures use mostly scales with 5 to 8 notes. | ||