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| {{Infobox MOS}}
| | This page is about a [[MOS scale]] with a period of a major tenth and 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL). |
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| |
|
| This page is about a [[MOS scale]] with a period of [[5/2]] and 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).
| | ==Name== |
| | The author suggests the name '''Terra Rubra''' for this scale. |
|
| |
|
| ==Name==
| |
| ==Temperaments== | | ==Temperaments== |
| | |
| | === Terra Rubra-Meantone === |
| | [[Subgroup]]: 5/2.2.3 |
| | |
| | [[Comma]] list: [[81/80]] |
| | |
| | [[POL2]] generator: ~3/2 = 696.8737¢ |
| | |
| | [[Mapping]]: [⟨1 1 1], ⟨0 -2 -1]] |
| | |
| | [[Optimal ET sequence]]: [[9ed5/2]], [[16ed5/2]], [[25ed5/2]] |
| | |
| | === Terra Rubra-Superpyth === |
| | [[Subgroup]]: 18/7.2.3 |
| | |
| | [[Comma]] list: [[64/63]] |
| | |
| | [[POL2]] generator: ~3/2 = 708.4011¢ |
| | |
| | [[Mapping]]: [⟨1 1 1], ⟨0 -2 -1]] |
| | |
| | [[Optimal ET sequence]]: [[7ed18/7]], [[16ed18/7]], [[23ed18/7]], [[30ed18/7]] |
| | |
| ==Scale tree== | | ==Scale tree== |
| {| class="wikitable" | | {| class="wikitable" |
| |- | | |- |
| ! colspan="3" |Generator | | !Generator |
| ! |Generator size | | ! |Generator size |
| ! |Comments | | !L |
| | !s |
| | !Comments |
| |- | | |- |
| | |4\[[7ed5/2|7]] | | | |4\[[7ed5/2|7]] |
| | | | | | |<u>960.000</u> |
| | |
| | |1 |
| | |906.28
| | |0 |
| | |<nowiki>1 1|1 0</nowiki> | | | |
| | |
| |
| |- | | |- |
| |25\44 | | |25\44 |
| |
| | |<u>937.500</u> |
| |
| | |6 |
| |<u>937.5</u> | | |1 |
| |''909.{{Overline|09}}'' | |
| |<nowiki>6 6|6 1</nowiki> | |
| | | | | |
| |- | | |- |
| |
| | |71\129 |
| |71\125 | | |<u>936.263</u> |
| |
| | |17 |
| |<u>936.263…</u> | | |3 |
| |''908.8'' | |
| |<nowiki>17 17|17 3</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |46\81 | | |46\81 |
| |
| | |<u>935.593</u> |
| |<u>935.593…</u> | | |11 |
| |''908.641…'' | | |2 |
| |<nowiki>11 11|11 2</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |67\118 | | |67\118 |
| |
| | |<u>934.884</u> |
| |<u>934.883…</u> | | |16 |
| |''908.474…'' | | |3 |
| |<nowiki>16 16|16 3</nowiki> | |
| | | | | |
| |- | | |- |
| | |21\37 | | | |21\37 |
| | |
| | | |<u>933.333</u> |
| | |
| | |5 |
| | |<u>933.{{Overline|3}}</u> | | |1 |
| |''908.{{Overline|108}}'' | |
| | |<nowiki>5 5|5 1</nowiki> | |
| | | | | | | |
| |- | | |- |
| |
| |
| |80\141 | | |80\141 |
| |
| | |<u>932.039</u> |
| |<u>932.038…</u> | | |19 |
| |''907.801…'' | | |4 |
| |<nowiki>19 19|19 4</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |59\104 | | |59\104 |
| |
| | |<u>931.579</u> |
| |<u>931.579…</u> | | |14 |
| |''907.692…'' | | |3 |
| |<nowiki>14 14|14 3</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |38\67 | | |38\67 |
| |
| | |<u>930.612</u> |
| |<u>930.612…</u> | | |9 |
| |''907.462…'' | | |2 |
| |<nowiki>9 9|9 2</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |55\97 | | |55\97 |
| |
| | |<u>929.577</u> |
| |<u>929.577…</u> | | |13 |
| |''907.216…'' | | |3 |
| |<nowiki>13 13|13 3</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |72\127 | | |72\127 |
| |
| | |<u>929.032</u> |
| |<u>929.032…</u> | | |17 |
| |''907.086…'' | | |4 |
| |<nowiki>17 17|17 4</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |89\157 | | |89\157 |
| |
| | |<u>928.696</u> |
| |<u>928.695…</u> | | |21 |
| |''907.006…'' | | |5 |
| |<nowiki>21 21|21 5</nowiki> | |
| | | | | |
| |- | | |- |
| | |17\30 | | | |17\30 |
| | | |<u>927.273</u> |
| | |4 |
| | |1 |
| | | | | | | |
| | |
| |
| | |<u>927.{{Overline|27}}</u>
| |
| |''906.{{Overline|6}}''
| |
| | |<nowiki>4 4|4 1</nowiki>
| |
| | |L/s = 4
| |
| |- | | |- |
| |
| |
| |115\203 | | |115\203 |
| |
| | |<u>926.174</u> |
| |<u>926.174…</u> | | |27 |
| |''906.403…'' | | |7 |
| |<nowiki>27 27|27 7</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |98\173 | | |98\173 |
| |
| | |<u>925.984</u> |
| |<u>925.984…</u> | | |23 |
| |''906.358…'' | | |6 |
| |<nowiki>23 23|23 6</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |81\143 | | |81\143 |
| |
| | |<u>925.714</u> |
| |<u>925.714…</u> | | |19 |
| |''906.293…'' | | |5 |
| |<nowiki>19 19|19 5</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |64\113 | | |64\113 |
| |
| | |<u>925.301</u> |
| |<u>925.301…</u> | | |15 |
| |''906.194…'' | | |4 |
| |<nowiki>15 15|15 4</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |47\83 | | |47\83 |
| |
| | |<u>924.590</u> |
| |<u>924.591…</u> | | |11 |
| |''906.024…'' | | |3 |
| |<nowiki>11 11|11 3</nowiki> | |
| | | | | |
| |- | | |- |
| | |
| |
| | |30\53 | | | |30\53 |
| | |
| | | |<u>923.077</u> |
| | |<u>923.076…</u> | | |7 |
| |''905.660…'' | | |2 |
| | |<nowiki>7 7|7 2</nowiki> | |
| | | | | | | |
| |- | | |- |
| |
| |
| |
| |
| |73\129 | | |73\129 |
| |<u>922.105…</u> | | |<u>922.105</u> |
| |''905.426…'' | | |17 |
| |<nowiki>17 17|17 5</nowiki> | | |5 |
| | | | | |
| |- | | |- |
| | |
| |
| | |43\76 | | | |43\76 |
| | |
| | | |<u>921.429</u> |
| | |<u>921.428…</u> | | |10 |
| |''905.263…'' | | |3 |
| | |<nowiki>10 10|10 3</nowiki> | |
| | | | | | | |
| |- | | |- |
| | |
| |
| | |56\99 | | | |56\99 |
| | |
| | | |<u>920.548</u> |
| | |<u>920.547…</u> | | |13 |
| |''905.{{Overline|05}}'' | | |4 |
| | |<nowiki>13 13|13 4</nowiki> | |
| | | | | | | |
| |- | | |- |
| | |
| |
| | |69\122 | | | |69\122 |
| | |
| | | |<u>920.000</u> |
| | |<u>920</u> | | |16 |
| |''904.918…'' | | |5 |
| | |<nowiki>16 16|16 5</nowiki> | |
| | | | | | | |
| |- | | |- |
| | |
| |
| | |82\145 | | | |82\145 |
| | |
| | | |<u>919.626</u> |
| | |<u>919.626…</u> | | |19 |
| |''904.827…'' | | |6 |
| | |<nowiki>19 19|19 6</nowiki> | |
| | | | | | | |
| |- | | |- |
| | |
| |
| | |95\168 | | | |95\168 |
| | |
| | | |<u>919.355</u> |
| | |<u>919.354…</u> | | |22 |
| |''904.761…'' | | |7 |
| | |<nowiki>22 22|22 7</nowiki> | |
| | | | | | | |
| |- | | |- |
| | | | | | | |
| | | |<u>919.340</u> |
| | |π |
| | |1 |
| | | | | | | |
| | |
| |
| | |<u>919.340…</u>
| |
| |''904.758…''
| |
| | |<nowiki>π π|π 1</nowiki>
| |
| | |L/s = π
| |
| |- | | |- |
| | |
| |
| | |108\191 | | | |108\191 |
| | |
| | | |<u>919.149</u> |
| | |<u>919.148…</u> | | |25 |
| |''904.712…'' | | |8 |
| | |<nowiki>25 25|25 8</nowiki> | |
| | | | | | | |
| |- | | |- |
| | |
| |
| | |121\214 | | | |121\214 |
| | |
| | | |<u>918.987</u> |
| | |<u>918.987…</u> | | |28 |
| |''904.672…'' | | |9 |
| | |<nowiki>28 28|28 9</nowiki>
| |
| | |28;9 Superdiatonic 1/28-tone | |
| |-
| |
| | |
| |
| | |134\237
| |
| | |
| |
| | |<u>918.857…</u>
| |
| |''904.642…''
| |
| | |<nowiki>31 31|31 10</nowiki>
| |
| | | | | | | |
| |- | | |- |
| | |13\23 | | | |13\23 |
| | | |<u>917.647</u> |
| | |3 |
| | |1 |
| | | | | | | |
| | |
| |
| | |<u>917.647…</u>
| |
| |''904.347…''
| |
| | |<nowiki>3 3|3 1</nowiki>
| |
| | |Terra Rubra 1/3-tone
| |
| |-
| |
| | |
| |
| | |126\223
| |
| | |
| |
| | |<u>916.{{Overline|36}}</u>
| |
| |''904.035…''
| |
| | |<nowiki>29 29|29 10</nowiki>
| |
| | |Terra Rubra <span style="font-size: 12.8000001907349px;"><big>1/29-tone</big></span>
| |
| |-
| |
| | |
| |
| | |113\200
| |
| | |
| |
| | |<u>916.{{Overline|216}}</u>
| |
| |''904''
| |
| | |<nowiki>26 26|26 9</nowiki>
| |
| | |Terra Rubra <span style="font-size: 12.8000001907349px;"><big>1/26-tone</big></span>
| |
| |- | | |- |
| | |
| |
| | |100\177 | | | |100\177 |
| | |
| | | |<u>916.031</u> |
| | |<u>916.030…</u> | | |23 |
| |''903.954…'' | | |8 |
| | |<nowiki>23 23|23 8</nowiki> | |
| | | | | | | |
| |- | | |- |
| | |
| |
| | |87\154 | | | |87\154 |
| | |
| | | |<u>915.789</u> |
| | |<u>915.789…</u> | | |20 |
| |''903.896…'' | | |7 |
| | |<nowiki>20 20|20 7</nowiki> | |
| | | | | | | |
| |- | | |- |
| | |
| |
| | |74\131 | | | |74\131 |
| | | |<u>915.464</u> |
| | |17 |
| | |6 |
| | | | | | | |
| | |<u>915.463…</u>
| |
| |''903.816…''
| |
| | |<nowiki>17 17|17 6</nowiki>
| |
| | |Terra Rubra 1/17-tone
| |
| |- | | |- |
| | |
| |
| | |61\108 | | | |61\108 |
| | | |<u>915.000</u> |
| | |14 |
| | |5 |
| | | | | | | |
| | |<u>915</u>
| |
| |''903.{{Overline|703}}''
| |
| | |<nowiki>14 14|14 5</nowiki>
| |
| | |Terra Rubra 1/14-tone
| |
| |- | | |- |
| | |
| |
| | |
| |
| | |109\193
| |
| | |<u>914.685…</u>
| |
| |''903.626…''
| |
| | |<nowiki>25 25|25 9</nowiki>
| |
| | |Terra Rubra 1/25-tone
| |
| |-
| |
| | |
| |
| | |48\85 | | | |48\85 |
| | | |<u>914.286</u> |
| | |11 |
| | |4 |
| | | | | | | |
| | |<u>914.286…</u>
| |
| |''903.529…''
| |
| | |<nowiki>11 11|11 4</nowiki>
| |
| | |Terra Rubra 1/11-tone
| |
| |- | | |- |
| | | | | | | |
| | |
| | | |<u>913.821</u> |
| | |
| | |e |
| | |<u>913.820…</u> | | |1 |
| |''903.415…'' | |
| | |<nowiki>e e|e 1</nowiki> | |
| | |L/s = e | | | |L/s = e |
| |- | | |- |
| | |
| |
| | |35\62 | | | |35\62 |
| | | |<u>913.043</u> |
| | |8 |
| | |3 |
| | | | | | | |
| | |<u>913.043…</u>
| |
| |''903.225…''
| |
| | |<nowiki>8 8|8 3</nowiki>
| |
| | |Terra Rubra 1/8-tone
| |
| |- | | |- |
| | | | | | | |
| | |
| | | |<u>912.287</u> |
| | |92\163
| | |<span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ</span>+1 |
| | |<u>912.396…</u> | | |1 |
| |''903.067…''
| | | |Split <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ</span> superdiatonic relation |
| | |<nowiki>21 21|21 8</nowiki>
| |
| | |21;8 Superdiatonic 1/21-tone | |
| |- | | |- |
| | | |57\101 |
| | | |<u>912.000</u> |
| | |13 |
| | |5 |
| | | | | | | |
| | |
| |
| | |
| |
| | |<u>912.286…</u>
| |
| |''903.040…''
| |
| | |<span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;"><nowiki>φ+1 φ+1|φ+1 1</nowiki></span>
| |
| | |Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..)
| |
| |-
| |
| | |
| |
| | |
| |
| | |57\101
| |
| | |<u>912</u>
| |
| |''902.970…''
| |
| | |<nowiki>13 13|13 5</nowiki>
| |
| | |13;5 Superdiatonic 1/13-tone
| |
| |- | | |- |
| |
| |
| |
| |
| |79\140 | | |79\140 |
| |<u>911.538…</u> | | |<u>911.538</u> |
| |''902.857…'' | | |18 |
| |<nowiki>18 18|18 7</nowiki> | | |7 |
| | | | | |
| |- | | |- |
| | |
| |
| | |22\39 | | | |22\39 |
| | | |<u>910.345</u> |
| | |5 |
| | |2 |
| | | | | | | |
| | |<u>910.344…</u>
| |
| |''902.564…''
| |
| | |<nowiki>5 5|5 2</nowiki>
| |
| | |Terra Rubra 1/5-tone
| |
| |- | | |- |
| | | |75\133 |
| | | |<u>909.091</u> |
| | |17 |
| | |7 |
| | | | | | | |
| | |
| |
| | |75\133
| |
| | |<u>909.{{Overline|09}}</u>
| |
| |''902.255…''
| |
| | |<nowiki>17 17|17 7</nowiki>
| |
| | |17;7 Superdiatonic 1/17-tone
| |
| |- | | |- |
| | |
| |
| | |
| |
| | |53\94 | | | |53\94 |
| | |<u>908.571…</u> | | | |<u>908.571</u> |
| |''902.127…'' | | |12 |
| | |<nowiki>12 12|12 5</nowiki> | | |5 |
| | | | | | | |
| |- | | |- |
| | |
| |
| | |31\55 | | | |31\55 |
| | | |<u>907.317</u> |
| | |7 |
| | |3 |
| | | | | | | |
| | |<u>907.317…</u>
| |
| |''901.{{Overline|81}}''
| |
| | |<nowiki>7 7|7 3</nowiki>
| |
| | |7;3 Superdiatonic 1/7-tone
| |
| |- | | |- |
| |
| |
| |
| |
| |71\126 | | |71\126 |
| |<u>906.382…</u> | | |<u>906.383</u> |
| |''901.587…'' | | |16 |
| |<nowiki>16 16|16 7</nowiki> | | |7 |
| | | | | |
| |- | | |- |
| | |
| |
| | |40\71 | | | |40\71 |
| | | |<u>905.660</u> |
| | |9 |
| | |4 |
| | | | | | | |
| | |<u>905.660…</u>
| |
| |''901.408…''
| |
| | |<nowiki>9 9|9 4</nowiki>
| |
| | |9;4 Superdiatonic 1/9-tone
| |
| |-
| |
| | |
| |
| | |49\87
| |
| | |
| |
| | |<u>904.615…</u>
| |
| |''901.149…''
| |
| | |<nowiki>11 11|11 5</nowiki>
| |
| | |11;5 Superdiatonic 1/11-tone
| |
| |- | | |- |
| | | |… |
| | | |… |
| | |… |
| | |… |
| | | | | | | |
| | |58\103
| |
| | |
| |
| | |<u>903.896…</u>
| |
| |''900.970…''
| |
| | |<nowiki>13 13|13 6</nowiki>
| |
| | |13;6 Superdiatonic 1/13-tone
| |
| |-
| |
| |
| |
| |67\119
| |
| |
| |
| |<u>903.370…</u>
| |
| |''900.840…''
| |
| |<nowiki>15 15|15 7</nowiki>
| |
| |
| |
| |-
| |
| |
| |
| |76\135
| |
| |
| |
| |<u>902.970…</u>
| |
| |''900.{{Overline|740}}''
| |
| |<nowiki>17 17|17 7</nowiki>
| |
| |
| |
| |- | | |- |
| | | | |229\305 |
| |85\151
| | |<u>900.983</u> |
| | | | |51 |
| |<u>902.654…</u>
| | |25 |
| |''900.662…''
| |
| |<nowiki>19 19|19 9</nowiki>
| |
| |
| |
| |-
| |
| |
| |
| |94\167
| |
| |
| |
| |<u>902.4</u>
| |
| |''900.598…'' | |
| |<nowiki>21 21|21 10</nowiki>
| |
| |
| |
| |-
| |
| |
| |
| |103\183
| |
| |
| |
| |<u>902.189…</u>
| |
| |''900.564…''
| |
| |<nowiki>23 23|23 11</nowiki>
| |
| |
| |
| |-
| |
| |
| |
| |112\199
| |
| |
| |
| |<u>902.013…</u>
| |
| |''900.502…''
| |
| |<nowiki>25 25|25 12</nowiki>
| |
| |
| |
| |-
| |
| |
| |
| |121\215
| |
| |
| |
| |<u>901.863…</u>
| |
| |''900.465…''
| |
| |<nowiki>27 27|27 13</nowiki>
| |
| | | | | |
| |- | | |- |
| | |9\16 | | | |9\16 |
| | |
| | | |<u>900.000</u> |
| | |
| | |2 |
| | |<u>900</u> | | |1 |
| |''900'' | |
| | |<nowiki>2 2|2 1</nowiki> | |
| | |<span style="display: block; text-align: left;">'''[BOUNDARY OF PROPRIETY: smaller generators are strictly proper]'''</span> | | | |<span style="display: block; text-align: left;">'''[BOUNDARY OF PROPRIETY: smaller generators are strictly proper]'''</span> |
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| | |230\397 |
| |230\409 | | |<u>899.023</u> |
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| |<u>899.022…</u> | | |26 |
| |''899.755…'' | |
| |<nowiki>51 51|51 26</nowiki> | |
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| |221\393
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| |<u>898.983…</u>
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| |''899.745…''
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| |<nowiki>49 49|49 25</nowiki>
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| |212\377
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| |<u>898.939…</u>
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| |''899.734…''
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| |<nowiki>47 47|47 24</nowiki>
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| |203\361
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| |<u>898.892…</u>
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| |''899.722…''
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| |<nowiki>45 45|45 23</nowiki>
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| |194\345
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| |<u>898.841…</u>
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| |''899.710…''
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| |<nowiki>43 43|43 22</nowiki>
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| |185\329
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| |<u>898.785…</u>
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| |''899.696…''
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| |<nowiki>41 41|41 21</nowiki>
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| |176\313
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| |<u>898.723…</u>
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| |''899.680…''
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| |<nowiki>39 39|39 20</nowiki>
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| |167\297
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| |<u>898.654…</u>
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| |''899.663…''
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| |<nowiki>37 37|37 19</nowiki>
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| |158\281
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| |<u>898.578…</u>
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| |''899.644…''
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| |<nowiki>35 35|35 18</nowiki>
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| |149\265
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| |<u>898.492…</u>
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| |''899.622…''
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| |<nowiki>33 33|33 17</nowiki>
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| |140\249
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| |<u>898.395…</u>
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| |''899.598…''
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| |<nowiki>31 31|31 16</nowiki>
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| |131\233
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| |<u>898.285…</u>
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| |''899.570…''
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| |<nowiki>29 29|29 15</nowiki>
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| |122\217
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| |<u>898.159…</u>
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| |''899.539…''
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| |<nowiki>27 27|27 14</nowiki>
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| |113\201
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| |<u>898.013…</u>
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| |''899.502…''
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| |<nowiki>25 25|25 13</nowiki>
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| |104\185
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| |<u>897.841…</u>
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| |''899.459…''
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| |<nowiki>23 23|23 12</nowiki>
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| |95\169
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| |<u>897.637…</u>
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| |''899.408…''
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| |<nowiki>21 21|21 11</nowiki>
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| |86\153
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| |<u>897.391…</u>
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| |''899.346…''
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| |<nowiki>19 19|19 10</nowiki>
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| | | | |… |
| |77\137 | | |… |
| | | | |… |
| |<u>897.087…</u> | | |… |
| |''899.270…''
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| |<nowiki>17 17|17 9</nowiki>
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| |68\121
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| |<u>896.703…</u>
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| |''899.173…''
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| |<nowiki>15 15|15 8</nowiki>
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| | |59\105
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| | |<u>896.202…</u>
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| |''899.047…''
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| | |<nowiki>13 13|13 7</nowiki>
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| | |Terra Rubra 1/13-tone
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| | |50\89
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| | |
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| | |<u>895.522…</u>
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| |''898.876…''
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| | |<nowiki>11 11|11 6</nowiki>
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| | |Terra Rubra 1/11-tone
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| | |41\73 | | | |41\73 |
| | | |<u>894.545</u> |
| | |9 |
| | |5 |
| | | | | | | |
| | |<u>894.{{Overline|54}}</u>
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| |''898.630…''
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| | |<nowiki>9 9|9 5</nowiki>
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| | |Terra Rubra 1/9-tone
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| | |32\57 | | | |32\57 |
| | |
| | | |<u>893.023</u> |
| | |<u>893.023…</u> | | |7 |
| |''898.245…'' | | |4 |
| | |<nowiki>7 7|7 4</nowiki> | | | |<span style="font-size: 12.8000001907349px;"><big>the 'Commatic' version of Terra Rubra, because its high accuracy of the 16/15 interval, the note '2b'</big></span> |
| | |Terra Rubra 1/7-tone <span style="font-size: 12.8000001907349px;">(the 'Commatic' version of Terra Rubra, because its high accuracy of the 16/15 interval, the note '2b')</span> | |
| |- | | |- |
| | | | | | | |
| | | |<u>892.459</u> |
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| | |<u>892.459…</u>
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| |''898.102…''
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| | |<span style="background-color: #ffffff;"><nowiki>√3 √3|√3 1</nowiki></span>
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| | | | | |87\155 |
| | | | | |<u>892.307</u> |
| | |19 |
| | |11 |
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| | |- |
| | |55\98 | | | |55\98 |
| | |<u>891.{{Overline|891}}</u> | | | |<u>891.892</u> |
| |''897.959…'' | | |12 |
| | |<nowiki>12 12|12 7</nowiki> | | |7 |
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| | |78\139
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| | |<u>891.428…</u>
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| |''897.841…''
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| | |<nowiki>17 17|17 10</nowiki>
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| | |Terra Rubra 1/17-tone
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| | |23\41 | | | |23\41 |
| | |
| | | |<u>890.323</u> |
| | |<u>890.323…</u> | | |5 |
| |''897.560…'' | | |3 |
| | |<nowiki>5 5|5 3</nowiki> | | | |Golden Terra Rubra 1/5-tone |
| | |5;3 Golden Terra Rubra 1/5-tone | |
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| |83\148 | | |83\148 |
| |<u>889.285…</u> | | |<u>889.286</u> |
| |''897.{{Overline|297}}'' | | |18 |
| |<nowiki>18 18|18 11</nowiki> | | |11 |
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| | |60\107 | | | |60\107 |
| | |<u>888.{{Overline|8}}</u> | | | |<u>888.889</u> |
| |''897.196…'' | | |13 |
| | |<nowiki>13 13|13 8</nowiki> | | |8 |
| | |13;8 Golden Terra Rubra 1/13-tone | | | |Golden Terra Rubra 1/13-tone |
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| | | | | | | |
| | |
| | | |<u>888.643</u> |
| | |
| | |<span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ</span> |
| | |<u>888.643…</u> | | |1 |
| |''897.133…''
| |
| | |<span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;"><nowiki>φ φ|φ 1</nowiki></span>
| |
| | |GOLDEN Terra Rubra (L/s = <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ)</span> | | | |GOLDEN Terra Rubra (L/s = <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ)</span> |
| |- | | |- |
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| | |97\173
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| | |<u>888.549…</u>
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| |''897.109…''
| |
| | |<nowiki>21 21|21 13</nowiki>
| |
| | |21;13 Golden Terra Rubra 1/21-tone
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| |-
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| | |37\66 | | | |37\66 |
| | |
| | | |<u>888.000</u> |
| | |<u>888</u> | | |8 |
| |''896.{{Overline|96}}'' | | |5 |
| | |<nowiki>8 8|8 5</nowiki> | | | |Golden Terra Rubra 1/8-tone |
| | |8;5 Golden Terra Rubra 1/8-tone | |
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| |
| |88\157 | | |88\157 |
| |<u>887.394…</u> | | |<u>887.395</u> |
| |''896.815…'' | | |19 |
| |<nowiki>19 19|19 12</nowiki> | | |12 |
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| |
| | |51\91 | | | |51\91 |
| | | |<u>886.957</u> |
| | |11 |
| | |7 |
| | | | | | | |
| | |<u>886.956…</u>
| |
| |''896.703…''
| |
| | |<nowiki>11 11|11 7</nowiki>
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| | |11;7 Superdiatonic 1/11-tone
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| | |<u>886.933…</u>
| |
| |''896.697…''
| |
| | |<nowiki>π π|π 2</nowiki>
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| |-
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| | |116\207
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| | |<u>886.624…</u>
| |
| |''896.618…''
| |
| | |<nowiki>25 25|25 16</nowiki>
| |
| | |25;16 Superdiatonic 1/25-tone
| |
| |-
| |
| | |
| |
| | |65\116 | | | |65\116 |
| | | |<u>886.364</u> |
| | |14 |
| | |9 |
| | | | | | | |
| | |<u>886.{{Overline|36}}</u>
| |
| |''896.551…''
| |
| | |<nowiki>14 14|14 9</nowiki>
| |
| | |14;9 Superdiatonic 1/14-tone
| |
| |- | | |- |
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| |
| | |79\141 | | | |79\141 |
| | | |<u>885.981</u> |
| | |17 |
| | |11 |
| | | | | | | |
| | |<u>885.981…</u>
| |
| |''896.453…''
| |
| | |<nowiki>17 17|17 11</nowiki>
| |
| | |17;11 Superdiatonic 1/17-tone
| |
| |- | | |- |
| | |
| |
| | |93\166 | | | |93\166 |
| | |
| | | |<u>885.714</u> |
| | |<u>885.714…</u> | | |20 |
| |''896.385…'' | | |13 |
| | |<nowiki>20 20|20 13</nowiki> | |
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| |-
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| | |
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| | |107\191
| |
| | |
| |
| | |<u>885.517…</u>
| |
| |''896.335…''
| |
| | |<nowiki>23 23|23 15</nowiki>
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| |-
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| |
| | |121\216
| |
| | |
| |
| | |<u>885.365…</u>
| |
| |''896.{{Overline|296}}''
| |
| | |<nowiki>26 26|26 17</nowiki>
| |
| | |26;17 Superdiatonic 1/26-tone
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| |-
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| |
| | |135\241
| |
| | |
| |
| | |<u>885.245…</u>
| |
| |''896.265…''
| |
| | |<nowiki>29 29|29 19</nowiki>
| |
| | |29;19 Superdiatonic 1/29-tone
| |
| |- | | |- |
| | |14\25 | | | |14\25 |
| | |
| | | |<u>884.211</u> |
| | |
| | |3 |
| | |<u>884.210…</u> | | |2 |
| |''896'' | | | |Golden Terra Rubra 1/3-tone |
| | |<nowiki>3 3|3 2</nowiki> | |
| | |3;2 Golden Terra Rubra 1/3-tone | |
| |-
| |
| | |
| |
| | |145\259
| |
| | |
| |
| | |<u>883.248…</u>
| |
| |''895.752…''
| |
| | |<nowiki>31 31|31 21</nowiki>
| |
| | |31;21 Superdiatonic 1/31-tone
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| |-
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| | |
| |
| | |131\234
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| | |
| |
| | |<u>883.146…</u>
| |
| |''895.726…''
| |
| | |<nowiki>28 28|28 19</nowiki>
| |
| | |28;19 Superdiatonic 1/28-tone
| |
| |- | | |- |
| | |
| |
| | |117\209 | | | |117\209 |
| | |
| | | |<u>883.019</u> |
| | |<u>883.018…</u> | | |25 |
| |''895.693…'' | | |17 |
| | |<nowiki>25 25|25 17</nowiki> | |
| | | | | | | |
| |- | | |- |
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| |
| | |103\184 | | | |103\184 |
| | |
| | | |<u>882.857</u> |
| | |<u>882.857…</u> | | |22 |
| |''895.652…'' | | |15 |
| | |<nowiki>22 22|22 15</nowiki> | |
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| |- | | |- |
| | |
| |
| | |89\159 | | | |89\159 |
| | |
| | | |<u>882.645</u> |
| | |<u>882.644…</u> | | |19 |
| |''895.579…'' | | |13 |
| | |<nowiki>19 19|19 13</nowiki> | |
| | | | | | | |
| |- | | |- |
| | |
| |
| | |75\134 | | | |75\134 |
| | |
| | | |<u>882.353</u> |
| | |<u>882.353…</u> | | |16 |
| |''895.522…'' | | |11 |
| | |<nowiki>16 16|16 11</nowiki> | |
| | | | | | | |
| |- | | |- |
| | |
| |
| | |61\109 | | | |61\109 |
| | |
| | | |<u>881.928</u> |
| | |<u>881.927…</u> | | |13 |
| |''895.412…'' | | |9 |
| | |<nowiki>13 13|13 9</nowiki> | |
| | | | | | | |
| |- | | |- |
| | |
| |
| | |47\84 | | | |47\84 |
| | |
| | | |<u>881.250</u> |
| | |<u>881.25</u> | | |10 |
| |''895.238…'' | | |7 |
| | |<nowiki>10 10|10 7</nowiki> | |
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| |
| |80\143
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| |<u>880.733…</u>
| |
| |''895.104…''
| |
| |<nowiki>17 17|17 12</nowiki>
| |
| |
| |
| |-
| |
| | |
| |
| | |33\59 | | | |33\59 |
| | |
| | | |<u>880.000</u> |
| | |<u>880</u> | | |7 |
| |''894.915…'' | | |5 |
| | |<nowiki>7 7|7 5</nowiki> | |
| | | | | | | |
| |- | | |- |
| |
| |
| |
| |
| |85\152 | | |85\152 |
| |<u>879.310…</u> | | |<u>879.310</u> |
| |''894.736…'' | | |18 |
| |<nowiki>18 18|18 13</nowiki> | | |13 |
| | | | | |
| |- | | |- |
| |
| |
| |52\93 | | |52\93 |
| | |<u>878.873</u> |
| | |11 |
| | |8 |
| | | | | |
| |<u>878.873…</u> | | |- |
| |''894.623…'' | | |71\127 |
| |<nowiki>11 11|11 8</nowiki> | | |<u>878.351</u> |
| | |15 |
| | |11 |
| | | | | |
| |- | | |- |
| | |90\161 |
| | |<u>878.049</u> |
| | |19 |
| | |14 |
| | | | | |
| |71\127 | | |- |
| | | | |109\195 |
| |<u>878.350…</u> | | |<u>877.852</u> |
| |''894.488…'' | | |23 |
| |<nowiki>15 15|15 11</nowiki> | | |17 |
| | | | | |
| |- | | |- |
| | |19\34 | | | |19\34 |
| | |
| | | |<u>876.923</u> |
| | |
| | |4 |
| | |<u>876.923…</u> | | |3 |
| |''894.117…'' | |
| | |<nowiki>4 4|4 3</nowiki> | |
| | | | | | | |
| |- | | |- |
| |
| |
| |62\111 | | |62\111 |
| |
| | |<u>875.294</u> |
| |<u>875.294…</u> | | |13 |
| |''893.{{Overline|693}}'' | | |10 |
| |<nowiki>13 13|13 10</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |43\77 | | |43\77 |
| |
| | |<u>874.576</u> |
| |<u>874.576…</u> | | |9 |
| |''893.506…'' | | |7 |
| |<nowiki>9 9|9 7</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |67\120 | | |67\120 |
| |
| | |<u>873.913</u> |
| |<u>873.913…</u> | | |14 |
| |''893.{{Overline|3}}'' | | |11 |
| |<nowiki>14 14|14 11</nowiki> | |
| | | | | |
| |- | | |- |
| |24\43 | | |24\43 |
| |
| | |<u>872.727</u> |
| |
| | |5 |
| |<u>872.{{Overline|72}}</u> | | |4 |
| |''893.023…'' | |
| |<nowiki>5 5|5 4</nowiki> | |
| | | | | |
| |- | | |- |
| |
| |
| |53\95 | | |53\95 |
| |
| | |<u>871.233</u> |
| |<u>871.232…</u> | | |11 |
| |''892.631…'' | | |9 |
| |<nowiki>11 11|11 9</nowiki> | |
| | | | | |
| |- | | |- |
| |29\52 | | |29\52 |
| |
| | |<u>870.000</u> |
| |
| | |6 |
| |<u>870</u> | | |5 |
| |''892.307…'' | |
| |<nowiki>6 6|6 5</nowiki> | |
| | | | | |
| |- | | |- |
| | |5\[[9edo|9]] | | | |5\[[9edo|9]] |
| | |
| | | |<u>857.142</u> |
| | |
| | |1 |
| | |<u>857.142…</u> | | |0 |
| |''888.{{Overline|8}}'' | |
| | |<nowiki>1 1|1 1</nowiki> | |
| | | | | | | |
| |} | | |} |
| | |
| | == See also == |
| | [[7L 2s (5/2-equivalent)]] - idealized meantone tuning |
| | |
| | [[7L 2s (81/32-equivalent)]] - Pythagorean tuning |
| | |
| | [[7L 2s (28/11-equivalent)]] - Neogothic tuning |
| | |
| | [[7L 2s (18/7-equivalent)]] - idealized Archytas tuning |