TAMNAMS/Appendix: Difference between revisions
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A perhaps useful (or otherwise mildly amusing) mnemonic is ''2-soft is too soft to be hard and 2-hard is too hard to be soft'', representing that {{nowrap|2-soft {{=}} 2-hard {{=}} 2/1 {{=}} '''basic'''}}. | A perhaps useful (or otherwise mildly amusing) mnemonic is ''2-soft is too soft to be hard and 2-hard is too hard to be soft'', representing that {{nowrap|2-soft {{=}} 2-hard {{=}} 2/1 {{=}} '''basic'''}}. | ||
Note that often the central spectrum will be sufficient for exploring a mos pattern-period combination, and the extended spectrum is intended more for (literally) edge cases where it may be useful. Often if a temperament interpretation doesn't seem to show up for a mos pattern-period combination, it just means the temperament needs a more complex mos pattern to narrow down the generator range. An example of this phenomena is the highly complex mos pattern of [[ | Note that often the central spectrum will be sufficient for exploring a mos pattern-period combination, and the extended spectrum is intended more for (literally) edge cases where it may be useful. Often if a temperament interpretation doesn't seem to show up for a mos pattern-period combination, it just means the temperament needs a more complex mos pattern to narrow down the generator range. An example of this phenomena is the highly complex mos pattern of [[12L 17s]] represents near-Pythagorean tunings well due to having a generator of a fourth or a fifth bounded between those of [[12edo]] and those of [[29edo]], which are roughly equally off but in opposite directions, and many important near-Pythagorean systems show up in just the ratios of the central spectrum alone. | ||
== Reasoning for mos interval names == | == Reasoning for mos interval names == | ||
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! Can be non-octave? !! Etymology | ! Can be non-octave? !! Etymology | ||
|- | |- | ||
| rowspan="2" | [[1L 1s]] || trivial || triv- || trv | | rowspan="2" | [[1L 1s]] || trivial || triv- || trv | ||
| Yes || The simplest valid mos pattern. | | Yes || The simplest valid mos pattern. | ||
|- | |- | ||
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! Can be non-octave? !! Etymology | ! Can be non-octave? !! Etymology | ||
|- | |- | ||
| [[1L 2s]] || antrial || atri- || at | | [[1L 2s]] || antrial || atri- || at | ||
| Yes || Opposite pattern of 2L 1s, with broader range. Shortening of ''anti-trial''. | | Yes || Opposite pattern of 2L 1s, with broader range. Shortening of ''anti-trial''. | ||
|- | |- | ||
| [[2L 1s]] || trial || tri- || t | | [[2L 1s]] || trial || tri- || t | ||
| Yes || From tri- for 3. | | Yes || From tri- for 3. | ||
|- | |- | ||
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! Can be non-octave? !! Etymology | ! Can be non-octave? !! Etymology | ||
|- | |- | ||
| [[1L 3s]] || antetric || atetra- || att | | [[1L 3s]] || antetric || atetra- || att | ||
| Yes || Opposite pattern of 3L 1s, with broader range. Shortening of ''anti-tetric''. | | Yes || Opposite pattern of 3L 1s, with broader range. Shortening of ''anti-tetric''. | ||
|- | |- | ||
| [[2L 2s]] || biwood || biwd- || bw | | [[2L 2s]] || biwood || biwd- || bw | ||
| No (octave-only) || Blackwood[10] and whitewood[14] generalized to 2 periods. | | No (octave-only) || Blackwood[10] and whitewood[14] generalized to 2 periods. | ||
|- | |- | ||
| [[3L 1s]] || tetric || tetra- || tt | | [[3L 1s]] || tetric || tetra- || tt | ||
| Yes || From tetra- for 4. | | Yes || From tetra- for 4. | ||
|- | |- | ||
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! Can be non-octave? !! Etymology | ! Can be non-octave? !! Etymology | ||
|- | |- | ||
| [[1L 4s]] || pedal || ped- || pd | | [[1L 4s]] || pedal || ped- || pd | ||
| Yes || From Latin ''ped'', for ''foot''; one big toe and four small toes. | | Yes || From Latin ''ped'', for ''foot''; one big toe and four small toes. | ||
|- | |- | ||
| [[2L 3s]] || pentic || pent- || pt | | [[2L 3s]] || pentic || pent- || pt | ||
| Yes || Common pentatonic; from penta- for 5. | | Yes || Common pentatonic; from penta- for 5. | ||
|- | |- | ||
| [[3L 2s]] || antipentic || apent- || apt | | [[3L 2s]] || antipentic || apent- || apt | ||
| Yes || Opposite pattern of 2L 3s. | | Yes || Opposite pattern of 2L 3s. | ||
|- | |- | ||
| [[4L 1s]] || manual || manu- || mnu | | [[4L 1s]] || manual || manu- || mnu | ||
| Yes || From Latin ''manus'', for ''hand''; one thumb and four longer fingers. | | Yes || From Latin ''manus'', for ''hand''; one thumb and four longer fingers. | ||
|} | |} | ||
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! Name | ! Name | ||
|- | |- | ||
| rowspan="5" | ''2L 2s'' | | rowspan="5" | ''2L 2s'' | ||
| rowspan="5" | biwood<br />''(formerly unnamed)'' | | rowspan="5" | biwood<br />''(formerly unnamed)'' | ||
| rowspan="2" | 4L 2s | | rowspan="2" | 4L 2s | ||
| rowspan="2" | citric<br />''(formerly lemon)'' | | rowspan="2" | citric<br />''(formerly lemon)'' | ||
| 4L 6s | | 4L 6s | ||
| lime<br />''(formerly dipentic)'' | | lime<br />''(formerly dipentic)'' | ||
| | | | ||
| | | | ||
|- | |- | ||
| 6L 4s | | 6L 4s | ||
| lemon<br />''(formerly antidipentic)'' | | lemon<br />''(formerly antidipentic)'' | ||
| | | | ||
| | | | ||
|- | |- | ||
| rowspan="3" | 2L 4s | | rowspan="3" | 2L 4s | ||
| rowspan="3" | malic<br />''(formerly antilemon)'' | | rowspan="3" | malic<br />''(formerly antilemon)'' | ||
| 6L 2s | | 6L 2s | ||
| ekic<br />''(formerly echidnoid)'' | | ekic<br />''(formerly echidnoid)'' | ||
| | | | ||
| | | | ||
|- | |- | ||
| rowspan="2" | 2L 6s | | rowspan="2" | 2L 6s | ||
| rowspan="2" | subaric<br />''(formerly antiechidnoid)'' | | rowspan="2" | subaric<br />''(formerly antiechidnoid)'' | ||
| 8L 2s | | 8L 2s | ||
| taric<br />''(formerly antidimanic)'' | | taric<br />''(formerly antidimanic)'' | ||
|- | |- | ||
| 2L 8s | | 2L 8s | ||
| jaric<br />''(formerly dimanic)'' | | jaric<br />''(formerly dimanic)'' | ||
|} | |} | ||