Douglas Blumeyer's RTT How-To: Difference between revisions
Cmloegcmluin (talk | contribs) |
Cmloegcmluin (talk | contribs) →temperament lines: Steve Martin suggestion: explain temperament vs tuning |
||
| Line 326: | Line 326: | ||
For another example, the line on the right side of the diagram running almost vertically which has the other 17-ET we looked at, as well as 10-ET and 7-ET, is labeled “dicot”, and so this line represents the dicot temperament, and unsurprisingly all of these ET’s temper out the dicot comma. | For another example, the line on the right side of the diagram running almost vertically which has the other 17-ET we looked at, as well as 10-ET and 7-ET, is labeled “dicot”, and so this line represents the dicot temperament, and unsurprisingly all of these ET’s temper out the dicot comma. | ||
Simply put, lines on PTS are '''temperaments'''. | Simply put, lines on PTS are '''temperaments'''. Specifically, they are [[abstract regular temperaments]]. If you are a student of historical temperaments, you may be familiar with e.g. [[quarter-comma meantone]]; to an RTT practitioner, this is actually a specific tuning of the meantone temperament. Meantone is an abstract temperament, or even a temperament family, which encompasses a range of other possible temperaments and tunings. | ||
If you’re new to RTT, all of the other temperaments besides meantone, like “[[dicot]]”, “[[porcupine]]”, and “[[mavila]]”, are probably unfamiliar and their names may seem sort of random or bizarre looking. Well, you’re not wrong about the names being random and bizarre. But mathematically and musically, these temperaments are every bit as much real and of interest as meantone. One day you too may compose a piece or write an academic paper about porcupine temperament. | If you’re new to RTT, all of the other temperaments besides meantone, like “[[dicot]]”, “[[porcupine]]”, and “[[mavila]]”, are probably unfamiliar and their names may seem sort of random or bizarre looking. Well, you’re not wrong about the names being random and bizarre. But mathematically and musically, these temperaments are every bit as much real and of interest as meantone. One day you too may compose a piece or write an academic paper about porcupine temperament. | ||
| Line 351: | Line 351: | ||
Think of it like this: for meantone, a change to the mapping of 5 doesn’t make near as much of a difference to the outcome as does a change to the mapping of 2 or 3, therefore, changes along the 5-axis don’t have near as much of an effect on that line, so it ends up roughly parallel to it. | Think of it like this: for meantone, a change to the mapping of 5 doesn’t make near as much of a difference to the outcome as does a change to the mapping of 2 or 3, therefore, changes along the 5-axis don’t have near as much of an effect on that line, so it ends up roughly parallel to it. | ||
=== scale trees === | === scale trees === | ||