2. ୯ମͱʮͭͳ͕Γʯ • ༨ஊɿ༗ݶཁૉ๏ • ݐஙͷੑͱ͔ΛධՁͨ͠Γ͢Δܭࢉख๏ • ߏΛࡾ֯ܗͱ͔ʹׂͯ͠ܭࢉ͢Δ͜ͱ͕ଟ͔ͬͨͣ By I, Zureks, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=2358783
3. ຺ମͱʮͭͳ͕Γʯ • Example 39 • μΠΞτχοΫίʔυΛ 0 ୯ମͰநԽʢthe seven degrees as 0-simplices ) • ॏͳ͍ͬͯͨ෦Λ 1 ୯ମͰ݁Ϳʢthe 14 lines for all pairs of degrees that intersectʣ I III V VII II IV VI a b c d e f g I III V VII II IV VI
3. ຺ମͱʮͭͳ͕Γʯ • Example 39 • 2 ॏͷॏͳΓ 1 ୯ମͰܨ͛Δ → 3 ॏͷॏͳΓ 2 ୯ମʢࡾ֯ܗʣͰܨ͛Δ • ɿ1 ୯ମ Λ 3 ͭܨ͖͛ͨ݀͋ࡾ֯ܗͱɺ2 ୯ମͷ໘ੵ͖ͭࡾ֯ܗผ I III V VII II IV VI a b c d e f g I III V VII II IV VI
4. ϦʔϚϯͷػೳͱʮͭͳ͕Γʯ • Example 39 • ϦʔϚϯͷػೳ "Harmony, Simplified"ʢ1893ʣ • ࣌ͷ࡞ۂՈɿυϏϡογʔʢ1862-1918ʣγΣʔϯϕϧΫʢ1874-1951ʣ • ࣌ͷཧՈɿθώλʔʢ1788-1867ʣγΣϯΧʔʢ1868-1935ʣ I III V VII II IV VI I III
4. ϦʔϚϯͷػೳͱʮͭͳ͕Γʯ • Example 39 • ڭՊॻ pp.130ʮୈ 1 ݅ͱͯ͠ɺI, IV, V ʹରͯ͠ T, S, D ͱఆΊɺྠֲઢ্ͰҟͳΔ TSD Λ༩ ͑ΔΑ͏ϦʔϚϯఆΊͨʯ • ͔ͨ͠ʹ IV→I→V S→T→D ͱҟͳΔ I:T III V:D VII II IV:S VI I:T III ্ஈ͔Β
4. ϦʔϚϯͷػೳͱʮͭͳ͕Γʯ • ༨ஊɿͦͦϦʔϚϯ 1 ͭͷԻʹ 1 ͭͷػೳΛׂΓͯΑ͏ͱͨ͠ͷ͔ʁ • ϦʔϚϯ 1 ͭͷԻ͕औΓಘΔػೳߴʑ 3ʮछྨʯͱ͚ͨͩ͠Ͱɺػೳ͕ 3 ͭͱݴ͍ͬͯ ͳ͍ɺͦͦ 1 ͭͷԻ͕ඞͣಉ͡छྨͷػೳΛऔΔͱஅݴ͍ͯ͠ͳ͍ɺͱ͍͏ࢦఠ͕͋Δ • ػೳ͕ 3 ͚ͭͩɺಉ͡ػೳަՄೳɺͳͲޙͷཧՈʹΑΔ֦େղऍ͔ʢౡԬͳͲʣ • ࢀߟɿSoundQuestʮػೳͷมભ ❶ ϦʔϚϯͷ“ݪ࡞”ʯ I III V VII II IV VI I III