{"id":1291,"date":"2019-11-01T19:52:02","date_gmt":"2019-11-01T17:52:02","guid":{"rendered":"http:\/\/www.g-culture.org\/ioannis\/?p=1291"},"modified":"2026-05-26T21:27:32","modified_gmt":"2026-05-26T19:27:32","slug":"byzantine-intervals-68-72-moria","status":"publish","type":"post","link":"https:\/\/www.g-culture.org\/ioannis\/byzantine-intervals-68-72-moria\/","title":{"rendered":"\u039c\u03bf\u03c5\u03c3\u03b9\u03ba\u03ac \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1. \u039f\u03ba\u03c4\u03ac\u03b2\u03b1 \u03c3\u03b5 68 \u03ba\u03b1\u03b9 72 \u03c4\u03bc\u03ae\u03bc\u03b1\u03c4\u03b1"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u039f\u03b9 \u03c0\u03af\u03bd\u03b1\u03ba\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03bf\u03bb\u03cd \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03bf\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf \u03c3\u03c9\u03c3\u03c4\u03cc \u03c7\u03cc\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1 \u03b7\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03ce\u03bd \u03bc\u03bf\u03c5\u03c3\u03b9\u03ba\u03ce\u03bd \u03bf\u03c1\u03b3\u03ac\u03bd\u03c9\u03bd (synthesizers) \u03bc\u03b5 \u03b4\u03c5\u03bd\u03b1\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1 micro-tuning<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0394\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b2\u03c5\u03b6\u03b1\u03bd\u03c4\u03b9\u03bd\u03ae\u03c2 \u03bc\u03bf\u03c5\u03c3\u03b9\u03ba\u03ae\u03c2 \u03c3\u03b5 \u03b7\u03c7\u03bf\u03bc\u03cc\u03c1\u03b9\u03b1 \u03ba\u03b1\u03b9 cents \u03cc\u03c4\u03b1\u03bd \u03b7 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1 \u03b4\u03b9\u03b1\u03b9\u03c1\u03b5\u03af\u03c4\u03b1\u03b9 \u03c3\u03b5 68 \u03c4\u03bc\u03ae\u03bc\u03b1\u03c4\u03b1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"color: #ff0000;\">\u039c\u039f\u03a1\u0399\u0391&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/span> <span style=\"color: #800080;\">CENTS<\/span><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>1<\/td><td>17.65<\/td><\/tr><tr><td>2<\/td><td>35.29<\/td><\/tr><tr><td>3<\/td><td>52.94<\/td><\/tr><tr><td>4<\/td><td>70.59<\/td><\/tr><tr><td>5<\/td><td>88.24<\/td><\/tr><tr><td>6<\/td><td>105.88<\/td><\/tr><tr><td>7<\/td><td>123.53<\/td><\/tr><tr><td>8<\/td><td>141.18<\/td><\/tr><tr><td>9<\/td><td>158.82<\/td><\/tr><tr><td>10<\/td><td>176.47<\/td><\/tr><tr><td>11<\/td><td>194.12<\/td><\/tr><tr><td>12<\/td><td>211.76<\/td><\/tr><tr><td>13<\/td><td>229.41<\/td><\/tr><tr><td>14<\/td><td>247.06<\/td><\/tr><tr><td>15<\/td><td>264.71<\/td><\/tr><tr><td>16<\/td><td>282.35<\/td><\/tr><tr><td>17<\/td><td>300<\/td><\/tr><tr><td>18<\/td><td>317.65<\/td><\/tr><tr><td>19<\/td><td>335.29<\/td><\/tr><tr><td>20<\/td><td>352.94<\/td><\/tr><tr><td>21<\/td><td>370.59<\/td><\/tr><tr><td>22<\/td><td>388.24<\/td><\/tr><tr><td>23<\/td><td>405.88<\/td><\/tr><tr><td>24<\/td><td>423.53<\/td><\/tr><tr><td>25<\/td><td>441.18<\/td><\/tr><tr><td>26<\/td><td>458.82<\/td><\/tr><tr><td>27<\/td><td>476.47<\/td><\/tr><tr><td>28<\/td><td>494.12<\/td><\/tr><tr><td>29<\/td><td>511.76<\/td><\/tr><tr><td>30<\/td><td>529.41<\/td><\/tr><tr><td>31<\/td><td>547.06<\/td><\/tr><tr><td>32<\/td><td>564.71<\/td><\/tr><tr><td>33<\/td><td>582.35<\/td><\/tr><tr><td>34<\/td><td>600<\/td><\/tr><tr><td>35<\/td><td>617.65<\/td><\/tr><tr><td>36<\/td><td>635.29<\/td><\/tr><tr><td>37<\/td><td>652.94<\/td><\/tr><tr><td>38<\/td><td>670.59<\/td><\/tr><tr><td>39<\/td><td>688.24<\/td><\/tr><tr><td>40<\/td><td>705.88<\/td><\/tr><tr><td>41<\/td><td>723.53<\/td><\/tr><tr><td>42<\/td><td>741.18<\/td><\/tr><tr><td>43<\/td><td>758.82<\/td><\/tr><tr><td>44<\/td><td>776.47<\/td><\/tr><tr><td>45<\/td><td>794.12<\/td><\/tr><tr><td>46<\/td><td>811.76<\/td><\/tr><tr><td>47<\/td><td>829.41<\/td><\/tr><tr><td>48<\/td><td>847.06<\/td><\/tr><tr><td>49<\/td><td>864.71<\/td><\/tr><tr><td>50<\/td><td>882.35<\/td><\/tr><tr><td>51<\/td><td>900<\/td><\/tr><tr><td>52<\/td><td>917.65<\/td><\/tr><tr><td>53<\/td><td>935.29<\/td><\/tr><tr><td>54<\/td><td>952.94<\/td><\/tr><tr><td>55<\/td><td>970.59<\/td><\/tr><tr><td>56<\/td><td>988.24<\/td><\/tr><tr><td>57<\/td><td>1005.88<\/td><\/tr><tr><td>58<\/td><td>1023.53<\/td><\/tr><tr><td>59<\/td><td>1041.18<\/td><\/tr><tr><td>60<\/td><td>1058.82<\/td><\/tr><tr><td>61<\/td><td>1076.47<\/td><\/tr><tr><td>62<\/td><td>1094.12<\/td><\/tr><tr><td>63<\/td><td>1111.76<\/td><\/tr><tr><td>64<\/td><td>1129.41<\/td><\/tr><tr><td>65<\/td><td>1147.06<\/td><\/tr><tr><td>66<\/td><td>1164.71<\/td><\/tr><tr><td>67<\/td><td>1182.35<\/td><\/tr><tr><td>68<\/td><td>1200<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0393\u03b9\u03b1 \u03bd\u03b1 \u03b1\u03ba\u03bf\u03cd\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b1 \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 <a href=\"http:\/\/www.g-culture.org\/ioannis\/wp-content\/uploads\/2019\/09\/ByzantinaMoria.mp3\" target=\"_blank\" rel=\"noreferrer noopener\">\u039a\u0391\u039d\u0395\u03a4\u0395 \u039a\u039b\u0399\u039a \u0395\u0394\u03a9<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0394\u0399\u0391\u03a3\u03a4\u0397\u039c\u0391\u03a4\u0391 \u0392\u03a5\u0396\u0391\u039d\u03a4\u0399\u039d\u0397\u03a3 \u039c\u039f\u03a5\u03a3\u0399\u039a\u0397\u03a3 \u03a3\u0395 \u039c\u039f\u03a1\u0399\u0391 \u039a\u0391\u0399 CENTS \u039f\u03a4\u0391\u039d \u0397 \u039f\u039a\u03a4\u0391\u0392\u0391 \u0394\u0399\u0391\u0399\u03a1\u0395\u0399\u03a4\u0391\u0399 \u03a3\u0395 72 \u03a4\u039c\u0397\u039c\u0391\u03a4\u0391<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><span style=\"color: #800080;\">\u039c\u039f\u03a1\u0399\u0391<\/span><\/td><td><span style=\"color: #800080;\">CENTS<\/span><\/td><\/tr><tr><td>1<\/td><td>16.67<\/td><\/tr><tr><td>2<\/td><td>33.33<\/td><\/tr><tr><td>3<\/td><td>50<\/td><\/tr><tr><td>4<\/td><td>66.67<\/td><\/tr><tr><td>5<\/td><td>83.33<\/td><\/tr><tr><td>6<\/td><td>100<\/td><\/tr><tr><td>7<\/td><td>116.67<\/td><\/tr><tr><td>8<\/td><td>133.33<\/td><\/tr><tr><td>9<\/td><td>150<\/td><\/tr><tr><td>10<\/td><td>166.67<\/td><\/tr><tr><td>11<\/td><td>183.33<\/td><\/tr><tr><td>12<\/td><td>200<\/td><\/tr><tr><td>13<\/td><td>216.67<\/td><\/tr><tr><td>14<\/td><td>233.33<\/td><\/tr><tr><td>15<\/td><td>250<\/td><\/tr><tr><td>16<\/td><td>266.67<\/td><\/tr><tr><td>17<\/td><td>283.33<\/td><\/tr><tr><td>18<\/td><td>300<\/td><\/tr><tr><td>19<\/td><td>316.67<\/td><\/tr><tr><td>20<\/td><td>333.33<\/td><\/tr><tr><td>21<\/td><td>350<\/td><\/tr><tr><td>22<\/td><td>366.67<\/td><\/tr><tr><td>23<\/td><td>383.33<\/td><\/tr><tr><td>24<\/td><td>400<\/td><\/tr><tr><td>25<\/td><td>416.67<\/td><\/tr><tr><td>26<\/td><td>433.33<\/td><\/tr><tr><td>27<\/td><td>450<\/td><\/tr><tr><td>28<\/td><td>466.67<\/td><\/tr><tr><td>29<\/td><td>483.33<\/td><\/tr><tr><td>30<\/td><td>500<\/td><\/tr><tr><td>31<\/td><td>516.67<\/td><\/tr><tr><td>32<\/td><td>533.33<\/td><\/tr><tr><td>33<\/td><td>550<\/td><\/tr><tr><td>34<\/td><td>566.67<\/td><\/tr><tr><td>35<\/td><td>583.33<\/td><\/tr><tr><td>36<\/td><td>600<\/td><\/tr><tr><td>37<\/td><td>616.67<\/td><\/tr><tr><td>38<\/td><td>633.33<\/td><\/tr><tr><td>39<\/td><td>650<\/td><\/tr><tr><td>40<\/td><td>666.67<\/td><\/tr><tr><td>41<\/td><td>683.33<\/td><\/tr><tr><td>42<\/td><td>700<\/td><\/tr><tr><td>43<\/td><td>716.67<\/td><\/tr><tr><td>44<\/td><td>733.33<\/td><\/tr><tr><td>45<\/td><td>750<\/td><\/tr><tr><td>46<\/td><td>766.67<\/td><\/tr><tr><td>47<\/td><td>783.33<\/td><\/tr><tr><td>48<\/td><td>800<\/td><\/tr><tr><td>49<\/td><td>816.67<\/td><\/tr><tr><td>50<\/td><td>833.33<\/td><\/tr><tr><td>51<\/td><td>850<\/td><\/tr><tr><td>52<\/td><td>866.67<\/td><\/tr><tr><td>53<\/td><td>883.33<\/td><\/tr><tr><td>54<\/td><td>900<\/td><\/tr><tr><td>55<\/td><td>916.67<\/td><\/tr><tr><td>56<\/td><td>933.33<\/td><\/tr><tr><td>57<\/td><td>950<\/td><\/tr><tr><td>58<\/td><td>966.67<\/td><\/tr><tr><td>59<\/td><td>983.33<\/td><\/tr><tr><td>60<\/td><td>1000<\/td><\/tr><tr><td>61<\/td><td>1016.67<\/td><\/tr><tr><td>62<\/td><td>1033.33<\/td><\/tr><tr><td>63<\/td><td>1050<\/td><\/tr><tr><td>64<\/td><td>1066.67<\/td><\/tr><tr><td>65<\/td><td>1083.33<\/td><\/tr><tr><td>66<\/td><td>1100<\/td><\/tr><tr><td>67<\/td><td>1116.67<\/td><\/tr><tr><td>68<\/td><td>1133.33<\/td><\/tr><tr><td>69<\/td><td>1150<\/td><\/tr><tr><td>70<\/td><td>1166.67<\/td><\/tr><tr><td>71<\/td><td>1183.33<\/td><\/tr><tr><td>72<\/td><td>1200<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed is-provider-byzantine-music-electroacoustic-music-musicology-education wp-block-embed-byzantine-music-electroacoustic-music-musicology-education\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"wp-embedded-content\" data-secret=\"NqMkXn2kQk\"><a href=\"https:\/\/www.g-culture.org\/ioannis\/mathandmusic\/\">Mathematics and Music<\/a><\/blockquote><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"\u201cMathematics and Music\u201d \u2014 Byzantine Music Electroacoustic Music Musicology Education\" src=\"https:\/\/www.g-culture.org\/ioannis\/mathandmusic\/embed\/#?secret=3ZKgs6ywRq#?secret=NqMkXn2kQk\" data-secret=\"NqMkXn2kQk\" width=\"500\" height=\"282\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>\u039f\u03b9 \u03c0\u03af\u03bd\u03b1\u03ba\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03bf\u03bb\u03cd \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03bf\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf \u03c3\u03c9\u03c3\u03c4\u03cc \u03c7\u03cc\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1 \u03b7\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03ce\u03bd \u03bc\u03bf\u03c5\u03c3\u03b9\u03ba\u03ce\u03bd \u03bf\u03c1\u03b3\u03ac\u03bd\u03c9\u03bd (synthesizers) \u03bc\u03b5 \u03b4\u03c5\u03bd\u03b1\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1 micro-tuning &nbsp; \u0394\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b2\u03c5\u03b6\u03b1\u03bd\u03c4\u03b9\u03bd\u03ae\u03c2 \u03bc\u03bf\u03c5\u03c3\u03b9\u03ba\u03ae\u03c2 \u03c3\u03b5 \u03b7\u03c7\u03bf\u03bc\u03cc\u03c1\u03b9\u03b1 \u03ba\u03b1\u03b9 cents \u03cc\u03c4\u03b1\u03bd \u03b7 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1 \u03b4\u03b9\u03b1\u03b9\u03c1\u03b5\u03af\u03c4\u03b1\u03b9 \u03c3\u03b5 68 \u03c4\u03bc\u03ae\u03bc\u03b1\u03c4\u03b1 \u039c\u039f\u03a1\u0399\u0391&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; CENTS 1 17.65 2 35.29 3 52.94 4 70.59 5 88.24 6 105.88 7 123.53 8 141.18 9 158.82 10 176.47 [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[181,304,12,7],"tags":[184,133,230,321,188,52,142,87,192,150,17,51],"class_list":["post-1291","post","type-post","status-publish","format-standard","hentry","category-greece","category-byzantine-music-greece","category-music","category-7","tag-absynth","tag-bms","tag-dx7","tag-microtonality","tag-microtuning","tag-music-theory","tag-sy77","tag-synthesizers","tag-vst","tag-yamaha","tag-17","tag-51"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.7 (Yoast SEO v27.8) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Byzantine Intervals in 68\u2011 and 72\u2011Moria Systems<\/title>\n<meta name=\"description\" content=\"Byzantine musical intervals measured in moria, with tables for the 68\u2011 and 72\u2011moria octave systems and accurate conversions to cents.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.g-culture.org\/ioannis\/byzantine-intervals-68-72-moria\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u039c\u03bf\u03c5\u03c3\u03b9\u03ba\u03ac \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1. \u039f\u03ba\u03c4\u03ac\u03b2\u03b1 \u03c3\u03b5 68 \u03ba\u03b1\u03b9 72 \u03c4\u03bc\u03ae\u03bc\u03b1\u03c4\u03b1\" \/>\n<meta property=\"og:description\" content=\"Byzantine musical intervals measured in moria, with tables for the 68\u2011 and 72\u2011moria octave systems and accurate conversions to cents.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.g-culture.org\/ioannis\/byzantine-intervals-68-72-moria\/\" \/>\n<meta property=\"og:site_name\" content=\"Byzantine 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