Warped diatonic: Difference between revisions

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A '''warped diatonic scale''' is a scale (excluding the diatonic scale itself) that contains relatively long substrings of the [[5L_2s|5L 2s]] diatonic scale ("LLsLLLsLLsLLLs...") in its sequence of large and small steps, and such that the sizes of those steps are similar to those of the diatonic scale (namely, in the ballpark of 200 and 100 cents).
A '''warped diatonic scale''' is a scale (excluding the diatonic scale itself) that contains relatively long substrings of the [[5L 2s]] diatonic scale ("LLsLLLsLLsLLLs...") in its sequence of large and small steps, and such that the sizes of those steps are similar to those of the diatonic scale (namely, in the ballpark of 200 and 100 cents).


Such scales may mislead a diatonic-conditioned listener into assigning the intervals to diatonic scale categories, but the categorization will be violated when either (1) the part of the scale that doesn't agree with 5L2s is reached, or (2) the harmonic nature of the intervals is drastically different than what's expected from the diatonic scale.
Such scales may mislead a diatonic-conditioned listener into assigning the intervals to diatonic scale categories, but the categorization will be violated when either (1) the part of the scale that doesn't agree with 5L2s is reached, or (2) the harmonic nature of the intervals is drastically different than what's expected from the diatonic scale.
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|-
|-
| 8
| 8
| [[3L_2s|3L 2s]]
| [[3L 2s]]
| Sensi, Squares, Petrtri, A-Team, Father
| Sensi, Squares, Petrtri, A-Team, Father
| LsLLsL
| LsLLsL
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|-
|-
| 9
| 9
| [[4L_1s|4L 1s]]
| [[4L 1s]]
| Bug, superpelog
| Bug, superpelog
| LLLsLL, LLsLLL
| LLLsLL, LLsLLL
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|-
|-
| 10
| 10
| [[4L_2s|4L 2s]]
| [[4L 2s]]
| Decimal, lemba
| Decimal, lemba
| LLsLLsLL
| LLsLLsLL
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|-
|-
| 11
| 11
| [[4L_3s|4L 3s]]
| [[4L 3s]]
| Orgone, keemun, sixix
| Orgone, keemun, sixix
| LsLLsL
| LsLLsL
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|-
|-
| 11
| 11
| [[5L_1s|5L 1s]]
| [[5L 1s]]
| Machine, gorgo
| Machine, gorgo
| LLLsLL, LLsLLL
| LLLsLL, LLsLLL
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|-
|-
| '''12'''
| '''12'''
| '''[[5L_2s|5L 2s]]'''
| '''[[5L 2s]]'''
| '''Ordinary diatonic'''
| '''Ordinary diatonic'''
| (infinitely long)
| (infinitely long)
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|-
|-
| 13
| 13
| [[5L_3s|5L 3s]]
| [[5L 3s]]
| Father, A-Team, Petrtri
| Father, A-Team, Petrtri
| LsLLsLL, LLsLLsL
| LsLLsLL, LLsLLsL
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|-
|-
| 13
| 13
| [[6L_1s|6L 1s]]
| [[6L 1s]]
| Glacial, leantone, tetracot
| Glacial, leantone, tetracot
| LLLsLL, LLsLLL
| LLLsLL, LLsLLL
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|-
|-
| 14
| 14
| [[5L_4s|5L 4s]]
| [[5L 4s]]
| Superpelog, godzilla
| Superpelog, godzilla
| LsLLsL
| LsLLsL
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|-
|-
| 14
| 14
| [[6L_2s|6L 2s]]
| [[6L 2s]]
| Hedgehog
| Hedgehog
| LLsLLLsLL
| LLsLLLsLL
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|-
|-
| 15
| 15
| [[6L_3s|6L 3s]]
| [[6L 3s]]
| Triforce
| Triforce
| LLsLLsLL
| LLsLLsLL
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|-
|-
| 15
| 15
| [[7L_1s|7L 1s]]
| [[7L 1s]]
| Porcupine
| Porcupine
| LLLsLL, LLsLLL
| LLLsLL, LLsLLL
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|-
|-
| 16
| 16
| [[6L_4s|6L 4s]]
| [[6L 4s]]
| Lemba, antikythera
| Lemba, antikythera
| LsLLsL
| LsLLsL
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|-
|-
| 16
| 16
| [[7L_2s|7L 2s]]
| [[7L 2s]]
| Mavila
| Mavila
| LLsLLLsLL
| LLsLLLsLL
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=== Warped antidiatonic ===
=== Warped antidiatonic ===
The scales at the top and bottom of this table are questionable as "warped antidiatonics", but the ones near 2x+y=9 are good examples.
The scales at the top and bottom of this table are questionable as "warped antidiatonics", but the ones near {{nowrap|2''x'' + ''y'' {{=}} 9}} are good examples.
{| class="wikitable"
{| class="wikitable"
! {{nowrap|2''x'' + ''y''}}
! {{nowrap|2''x'' + ''y''}}