User:Ganaram inukshuk/Notes/TAMNAMS: Difference between revisions
→Named mos modes: Removed the tables of modes that were named more recently under the reasoning that their names aren't recognized yet |
→Sandboxed section: Naming mos modes: Wrote a mockup description for finding mos modes; unsure if this belongs in tamnams or udp |
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''Reasoning: what if TAMNAMS had a formal section for naming mos modes, the same with mos names? Due to size, it may make more sense to have the individual mos pages have mos mode names.'' | ''Reasoning: what if TAMNAMS had a formal section for naming mos modes, the same with mos names? Due to size, it may make more sense to have the individual mos pages have mos mode names.'' | ||
The easiest way to name the modes of a mos, without having to memorize any names, is to refer to them by their [[Modal UDP notation|UDP]], notated as u|p, where u is the number of bright generators stacked ''above'' the tonic, d is the number of bright generators stacked ''below'' the tonic, and "|" is pronounced as pipe | The easiest way to name the modes of a mos, without having to memorize any names, is to refer to them by their [[Modal UDP notation|UDP]], notated as ''u''|''p'', where ''u'' is the number of bright generators stacked ''above'' the tonic, ''d'' is the number of bright generators stacked ''below'' the tonic, and "|" is pronounced as "pipe". | ||
This section's running example is 5L 3s, whose brightest mode is LLsLLsLs. | |||
=== Finding mos modes === | |||
Rotating the sequence of steps - that is, moving the step at the beginning to the end - produces a different mode. This can be repeated until we return to the same mode we started with. | |||
This rotation process usually returns the modes in rotational order, not by brightness. To get the modes in order by brightness, we can produce every interval for each mode, starting at the mosunison (0-mosstep) and ending at the mosoctave (8-mosstep). This produces an [[interval matrix]]. The brightest mode will be the mode that has all of its intervals - excluding the mosunison, mosoctave, and multiples of the period if applicable - in its large size. The next brightest mode will have one interval in its small size, the next-next brightest mode will have two intervals in its small size, and so on. The darkest mode will have all of its intervals in its small size. For a mos with n unique modes, the brightest mode's UDP is (n-1)|0, then the next brightest is (n-2)|1, and so on until we reach the darkest mode of UDP 0|(n-1). | |||
For multi-period mosses with ''p'' periods and ''n'' notes per period, we return to the same mode we started with after ''n'' notes rather than ''np'' notes. The UDPs produced this way are notated as ''up''|''dp''(''p'') rather than ''u''|''d''. This is to say that a mode of a multi-period mos is generated by stacking generators starting at every mosperiod, not just the tonic, so there are u*p and d*p generators being stacked, rather than just u and d generators. | |||
A much faster way to do this process is by sorting the modes produced this way in alphabetical order, effectively sorting all modes by decreasing brightness. This is possible because "L" comes before "s" alphabetically. The table below shows the modes produced rotationally, and can be sorted by UDP. | |||
{| class="wikitable sortable" | |||
|+Modes of 5L 3s, with interval sizes | |||
!Mode | |||
!Rotational order | |||
!UDP | |||
!mosunison | |||
!1-mosstep | |||
!2-mosstep | |||
!3-mosstep | |||
!4-mosstep | |||
!5-mosstep | |||
!6-mosstep | |||
!7-mosstep | |||
!mosoctave | |||
|- | |||
|LLsLLsLs | |||
|0 | |||
|<nowiki>7|0</nowiki> | |||
|0 (perfect) | |||
|L (major) | |||
|2L (major) | |||
|2L+s (perfect) | |||
|3L+s (major) | |||
|4L+s (augmented) | |||
|4L+2s (major) | |||
|5L+2s (major) | |||
|5L+3s (perfect) | |||
|- | |||
|LsLLsLsL | |||
|1 | |||
|<nowiki>4|3</nowiki> | |||
|0 (perfect) | |||
|L (major) | |||
|L+s (minor) | |||
|2L+s (perfect) | |||
|3L+s (major) | |||
|3L+2s (perfect) | |||
|4L+2s (major) | |||
|4L+3s (minor) | |||
|5L+3s (perfect) | |||
|- | |||
|sLLsLsLL | |||
|2 | |||
|<nowiki>1|6</nowiki> | |||
|0 (perfect) | |||
|s (minor) | |||
|L+s (minor) | |||
|2L+s (perfect) | |||
|2L+2s (minor) | |||
|3L+2s (perfect) | |||
|3L+3s (minor) | |||
|4L+3s (minor) | |||
|5L+3s (perfect) | |||
|- | |||
|LLsLsLLs | |||
|3 | |||
|<nowiki>6|1</nowiki> | |||
|0 (perfect) | |||
|L (major) | |||
|2L (major) | |||
|2L+s (perfect) | |||
|3L+s (major) | |||
|3L+2s (perfect) | |||
|4L+2s (major) | |||
|5L+2s (major) | |||
|5L+3s (perfect) | |||
|- | |||
|LsLsLLsL | |||
|4 | |||
|<nowiki>3|4</nowiki> | |||
|0 (perfect) | |||
|L (major) | |||
|L+s (minor) | |||
|2L+s (perfect) | |||
|2L+2s (minor) | |||
|3L+2s (perfect) | |||
|4L+2s (major) | |||
|4L+3s (minor) | |||
|5L+3s (perfect) | |||
|- | |||
|sLsLLsLL | |||
|5 | |||
|<nowiki>0|7</nowiki> | |||
|0 (perfect) | |||
|s (minor) | |||
|L+s (minor) | |||
|L+2s (diminished) | |||
|2L+2s (minor) | |||
|3L+2s (perfect) | |||
|3L+3s (minor) | |||
|4L+3s (minor) | |||
|5L+3s (perfect) | |||
|- | |||
|LsLLsLLs | |||
|6 | |||
|<nowiki>5|2</nowiki> | |||
|0 (perfect) | |||
|L (major) | |||
|L+s (minor) | |||
|2L+s (perfect) | |||
|3L+s (major) | |||
|3L+2s (perfect) | |||
|4L+2s (major) | |||
|5L+2s (major) | |||
|5L+3s (perfect) | |||
|- | |||
|sLLsLLsL | |||
|7 | |||
|<nowiki>2|5</nowiki> | |||
|0 (perfect) | |||
|s (minor) | |||
|L+s (minor) | |||
|2L+s (perfect) | |||
|2L+2s (minor) | |||
|3L+2s (perfect) | |||
|4L+2s (major) | |||
|4L+3s (minor) | |||
|5L+3s (perfect) | |||
|} | |||
=== TAMNAMS format for mos modes === | === TAMNAMS format for mos modes === | ||