User:CompactStar/Lefts and rights notation: Difference between revisions
CompactStar (talk | contribs) No edit summary |
CompactStar (talk | contribs) No edit summary |
||
| Line 107: | Line 107: | ||
* The rightright (RR) interval is the simplest which is sharper than the right interval. For minor thirds: [[11/9]] | * The rightright (RR) interval is the simplest which is sharper than the right interval. For minor thirds: [[11/9]] | ||
And then using 3 lefts and rights: | And then using 3 lefts and rights: | ||
* The leftleftleft (LLL) interval is the simplest which is flatter than the leftleft interval. | * The leftleftleft (LLL) interval is the simplest which is flatter than the leftleft interval. | ||
* The leftleftright (LLR) interval is the simplest which is between the leftleft interval and the left interval. | * The leftleftright (LLR) interval is the simplest which is between the leftleft interval and the left interval. | ||
* The leftrightleft (LRL) interval is the simplest which is between the left interval and the leftright interval. For minor thirds: [[20/17]] | * The leftrightleft (LRL) interval is the simplest which is between the left interval and the leftright interval. For minor thirds: [[20/17]] | ||
* The leftrightright (LRR) interval is the simplest which is between the leftright interval and the Pythagorean interval. For minor thirds: [[77/65]] | * The leftrightright (LRR) interval is the simplest which is between the leftright interval and the Pythagorean interval. For minor thirds: [[77/65]] | ||
* The rightleftleft (RLL) interval is the simplest which is between the Pythagorean interval and the rightleft interval. For minor thirds: [[51/43]] | * The rightleftleft (RLL) interval is the simplest which is between the Pythagorean interval and the rightleft interval. For minor thirds: [[51/43]] | ||
* The rightleftright (RLR) interval is the simplest which is between the rightleft and the right interval. | * The rightleftright (RLR) interval is the simplest which is between the rightleft and the right interval. | ||
* The rightrightleft (RRL) interval is the simplest which is between the right interval and the rightright interval. For minor thirds: [[17/14]] | * The rightrightleft (RRL) interval is the simplest which is between the right interval and the rightright interval. For minor thirds: [[17/14]] | ||
* The rightrightright (RRR) interval is the simplest which is sharper than the rightright interval. For minor thirds: [[ | * The rightrightright (RRR) interval is the simplest which is sharper than the rightright interval. For minor thirds: [[38/31]] | ||
And so on. This sort of binary search can be applied for an arbitrary number of lefts and rights to name all just intervals in a category. | And so on. This sort of binary search can be applied for an arbitrary number of lefts and rights to name all just intervals in a category. | ||