Timeline for Question Math of a Non Linear Semi Whole Tone of a Musical Scale Intervals as Rationals
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| Nov 27, 2022 at 18:43 | answer | added | MarnixKlooster ReinstateMonica | timeline score: 1 | |
| Nov 27, 2022 at 18:27 | comment | added | AstroD | If possible Im hoping to arrive at a solution that does not use cents - regarding the solution mentioned, I havent found one. I simply used a spreadsheet to toggle semitone values until I discovered a modified semitone value that returned a near match on a generated scale for both values. Id like to be able to auto-generate a modified optimal semitone value that will facilitate both values of any given root and other scale value | |
| Nov 27, 2022 at 18:23 | comment | added | AstroD | This scale may turn out to be either major or minor structurally. How do we determine the optimal modified semitone value to get the closest match to the two provided values? Im hoping to end up with a function or formula | |
| Nov 27, 2022 at 18:23 | comment | added | AstroD | Thanks Marnix - I should have expressed this better ; Two notes are considered ; a root note from a 7 note scale and one other note that may be any note associated from the scale degrees from 2 to 7. The two notes are expressed as rational numeric values between 1.0 to 2.0. In some cases these two notes will not fall on a standard major, minor scale that uses a semitone value of 1.059 and a whole tone of 1.125. By modifying the value of the semi tone between a range of 1.05 to 1.09 we can generate a scale where both these values will occur on the same scale. | |
| Nov 27, 2022 at 18:11 | history | edited | MarnixKlooster ReinstateMonica |
Removed tags not related to this question.
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| Nov 27, 2022 at 18:10 | comment | added | MarnixKlooster ReinstateMonica | About your question: Why do you consider 1.4283 to be "only an approximation" of 1.4437, but apparently 1.445460943 from your solution is not? About your solution: How did you arrive at this? And have you considered using W=1.127294..., H=1.061741...? That reduces the octave ($W^5 \times H^2$) from 50 cents too large to 45 cents, and makes the F# in the C# major or minor scale exactly 1.4437. | |
| Nov 27, 2022 at 17:46 | comment | added | MarnixKlooster ReinstateMonica | But this seems an honest question, and I seem to understand it. So I'm not voting to close, and might even try an answer. | |
| Nov 27, 2022 at 17:45 | comment | added | MarnixKlooster ReinstateMonica | It feels like all tags except [music-theory] are incorrect on this question. | |
| Nov 27, 2022 at 17:44 | comment | added | MarnixKlooster ReinstateMonica | The question is hard to understand, partly by the wording, partly for the inconsistent ordering and formatting (round to 4 decimals, then 9 without trailing zeroes, then 3...), partly because suddenly 'mod 2' is applied (1.0099 is used for its double 2.01199, same for 1.036867988 for 2.073735975), partly because the 'solution' yields a 2.058... octave), partly because of musical confusion (those are not the major/minor scales for C#, but enharmonic equivalents). | |
| Nov 17, 2022 at 0:48 | review | Close votes | |||
| Dec 1, 2022 at 3:09 | |||||
| Nov 17, 2022 at 0:18 | history | edited | Asaf Karagila♦ |
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| S Nov 16, 2022 at 22:57 | review | First questions | |||
| Nov 16, 2022 at 22:58 | |||||
| S Nov 16, 2022 at 22:57 | history | asked | AstroD | CC BY-SA 4.0 |