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User:FloraC/Hard problems of harmony and psychoacoustically supported optimization: Difference between revisions

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$$
$$
W = \operatorname {diag} (1/\log_2 (Q))
W = \operatorname {diag} \left( 1/\log_2 (Q) \right)
$$
$$


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$$
$$
W = \operatorname {diag} (\left\langle \begin{matrix} w_1 & \sqrt{2} & 1 \end{matrix} \right])
W = \operatorname {diag} \left( \left\langle \begin{matrix} w_1 & \sqrt{2} & 1 \end{matrix} \right] \right)
$$
$$


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$$
$$
W = \operatorname {diag} (\operatorname {floor} (\log_Q (n)))
W = \operatorname {diag} \left( \operatorname {floor} \left( \log_Q (n) \right) \right)
$$
$$


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! Temperament !! Error Map (CTE) !! Error Map (CH<sub>24</sub>E)
! Temperament !! Error Map (CTE) !! Error Map (CH<sub>24</sub>E)
|-
|-
| 5-limit meantone || {{val| 0 −4.7407 +2.5436 }} || {{val| 0 −4.3013 +4.3013 }}
| Meantone, 5-limit || {{val| 0 −4.7407 +2.5436 }} || {{val| 0 −4.3013 +4.3013 }}
|-
|-
| 7-limit meantone || {{val| 0 −5.0029 +1.4948 +0.6955 }} || {{val| 0 −4.9439 +1.7308 +1.2853 }}
| Meantone, 7-limit || {{val| 0 −5.0029 +1.4948 +0.6955 }} || {{val| 0 −4.9439 +1.7308 +1.2853 }}
|-
|-
| 2.3.7 superpyth || {{val| 0 +7.6398 +11.9845 }} || {{val| 0 +6.8160 +13.6320 }}
| Superpyth, 2.3.7 subgroup || {{val| 0 +7.6398 +11.9845 }} || {{val| 0 +6.8160 +13.6320 }}
|-
|-
| 7-limit superpyth || {{val| 0 +7.6357 +0.0023 +11.9928 }} || {{val| 0 +7.5618 −0.6629 +12.1406 }}
| Superpyth, 7-limit || {{val| 0 +7.6357 +0.0023 +11.9928 }} || {{val| 0 +7.5618 −0.6629 +12.1406 }}
|-
|-
| 11-limit sensamagic || {{val| 0 +1.8187 −0.7280 −2.1970 +0.2160 }} || {{val| 0 +1.6927 −0.9366 −2.3952 +0.5219 }}
| Sensamagic, 11-limit || {{val| 0 +1.8187 −0.7280 −2.1970 +0.2160 }} || {{val| 0 +1.6927 −0.9366 −2.3952 +0.5219 }}
|-
|-
| 13-limit marvel (hecate) || {{val| 0 −0.3917 −3.2984 +0.3314 −1.9273 −0.3053 }} || {{val| 0 −0.3922 −3.5071 −0.0870 −1.3006 +0.1105 }}
| Marvel (hecate), 13-limit || {{val| 0 −0.3917 −3.2984 +0.3314 −1.9273 −0.3053 }} || {{val| 0 −0.3922 −3.5071 −0.0870 −1.3006 +0.1105 }}
|-
|-
| 13-limit pele || {{val| 0 +1.4848 +0.5796 −2.5714 +1.1774 +1.6483 }} || {{val| 0 +1.5434 +0.7961 −2.7066 +0.8077 +1.1028 }}
| Pele, 13-limit || {{val| 0 +1.4848 +0.5796 −2.5714 +1.1774 +1.6483 }} || {{val| 0 +1.5434 +0.7961 −2.7066 +0.8077 +1.1028 }}
|}
|}
</center>
</center>
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© 2023 Flora Canou
© 2023 Flora Canou


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This work is licensed under the [https://creativecommons.org/licenses/by-sa/4.0/ Creative Commons Attribution-ShareAlike 4.0 International License].
This work is licensed under the [https://creativecommons.org/licenses/by-sa/4.0/ Creative Commons Attribution-ShareAlike 4.0 International License].
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