Apotome

Diatonische Intervalle
Prime Sekunde Terz Quarte Quinte Sexte Septime Oktave None Dezime Undezime Duodezime Tredezime Halbton/Ganzton
Besondere Intervalle
Mikrointervall Komma Diësis Limma Apotome Ditonus Tritonus Wolfsquinte Naturseptime
Maßeinheiten
Cent Millioktave Oktave Savart

In der Theorie der Mehrstimmigkeit zum Beispiel bei Guido von Arezzo (11. Jahrhundert) in der pythagoreischen Stimmung wird ein Ganztonintervall aus zwei Halbtönen zusammengesetzt: dem „Limma“ und der „Apotome“.

Apotome (altgriechisch ἀποτομή ‚Abschnitt, Segment‘) bezeichnet in der Musik seit der griechischen Antike den pythagoreischen chromatischen Halbton.

Der pythagoreische diatonische Halbton ist das

Limma = Quarte – 2 Ganztöne mit dem Frequenzverhältnis ${\frac {256}{243}}\,\,{\widehat {\approx }}\,\,90{,}22$ Cent.

Der pythagoreische chromatische Halbton ist die

Apotome = Ganzton – Limma.

Ihr Frequenzverhältnis berechnet sich zu ${\frac {9}{8}}:{\frac {256}{243}}={\frac {2187}{2048}}\,\,{\widehat {\approx }}\,\,113{,}69$ Cent.

Die Apotome (113,7 Cent) ist um ein pythagoreisches Komma (23,5 Cent) größer als das Limma (90,2 Cent).

Read other articles:

Duck Soup (film 1927)

Untuk film Marx bersaudara 1933, lihat Duck Soup (film 1933). Duck SoupPoster rilis layar lebarSutradaraFred GuiolProduserHal RoachDitulis olehH.M. WalkerArthur J. Jefferson (drama)PemeranStan LaurelOliver HardyPenyuntingRichard C. CurrierDistributorPathé Exchange Inc.Tanggal rilis 13 Maret 1927 (1927-03-13) Durasi20 menitNegaraAmerika SerikatBahasaAntarjudul Inggris Duck Soup adalah sebuah film pendek komedi bisu yang dibintangi oleh Stan Laurel dan Oliver Hardy sebelum penjulukan resm...

Daftar partai politik di Azerbaijan

Azerbaijan Artikel ini adalah bagian dari seri Politik dan KetatanegaraanRepublik Azerbaijan Konstitusi Presiden: Ilham Aliyev Wakil Presiden: Mehriban Aliyeva Kepresidenan Perdana Menteri: Artur Rasizade Kabinet Menteri Majelis Nasional Ketua: Sahiba Gafarova Partai politik Pemilihan umum Pembagian administratif Hubungan luar negeri Hak Asasi Manusia Lihat pula Negara lainnya Atlas lbs Artikel ini berisi daftar partai politik di Azerbaijan. Azerbaijan adalah negara dominan satu partai. Parta...

Bandar Udara Internasional General Francisco J. Mujica

Bandar Udara Internasional General Francisco J. MujicaAeropuerto Internacional General Francisco J. MujicaIATA: MLMICAO: MMMM MLMLokasi bandara di MeksikoInformasiJenisPublikPengelolaGrupo Aeroportuario del PacíficoMelayaniMoreliaLokasiÁlvaro Obregón, MichoacánKetinggian dpl1,839 mdplKoordinat19°50′59″N 101°01′31″W / 19.84972°N 101.02528°W / 19.84972; -101.02528Landasan pacu Arah Panjang Permukaan kaki m 05/23 11,155 3,400 Aspal Statistik (201...

Strada statale 259 Vibrata

Strada statale 259VibrataLocalizzazioneStato Italia Regioni Abruzzo Marche Province Teramo Ascoli Piceno DatiClassificazioneStrada statale InizioVilla Rosa FineSS 81 presso Piane di Morro Lunghezza27,670[1] km Data apertura1959 Provvedimento di istituzioneD.M. 16/11/1959 - G.U. 41 del 18/02/1960[2] GestoreANAS Percorso Manuale La strada statale 259 Vibrata (SS 259) è una strada statale italiana che collega la costa adriatica nei pressi di Alba Adriati...

Carl Djerassi

American pharmaceutical chemist and writer (1923–2015) Carl DjerassiCarl Djerassi in 2004Born(1923-10-29)October 29, 1923Vienna, AustriaDiedJanuary 30, 2015(2015-01-30) (aged 91)San Francisco, California, U.S.NationalityAustrianAmericanBulgarianAlma mater Kenyon College (BS) University of Wisconsin–Madison (PhD) Known for Contraceptive pill Djerassi Artists Residency Children2Parent(s)Samuel Djerassi (father) Alice Friedmann (mother)Scientific careerFieldsChemistryInstituti...

Buruanga, Aklan

Peta yang menunjukkan letak Buruanga. Buruanga adalah munisipalitas di provinsi Aklan, Filipina. Pada tahun 2011, wilayah ini memiliki penduduk sebanyak 15.767 jiwa atau 3.204 rumah tangga.[1] Pembagian wilayah Secara administratif Buruanga terbagi atas 15 barangay, yaitu: Alegria Bagongbayan Balusbos Bel-is Cabugan El Progreso Habana Katipunan Mayapay Nazareth Panilongan Poblacion Santander Tag-osip Tigum Referensi ^ Local Governance Performance Management System[pranala nonaktif...

Wildlife of Karnataka

Indian roller (Coracias benghalensis), the state bird Young sapling of sandalwood (Santalum album), the state tree The state of Karnataka in South India has a rich diversity of flora and fauna. It has a recorded forest area of 38,720 km2 which constitutes 55 of the geographical area of the state. These forests support 25% of the elephant population and 20% of the tiger population of India. Many regions of Karnataka are still unexplored and new species of flora and fauna are still found....

Антитринитаризм

ХристианствоБиблия Ветхий Завет Новый Завет Евангелие Десять заповедей Нагорная проповедь Апокрифы Бог, Троица Бог Отец Иисус Христос Святой Дух История христианства Апостолы Хронология христианства Раннее христианство Гностическое христианство Вселенские соборы Н...

Kinmen Defense Command

Kinmen金門防衛指揮部 (Chinese)Badge of the Kiman Defense CommandActive1949–presentCountry Republic of ChinaBranch Republic of China ArmyTypeCommandSizeabout 3,000Garrison/HQKinmenNickname(s)Taiwu TroopsCommandersCommanderLieutenant General Li DingzhongDeputy CommanderMajor General Zhou GuojianChief of StaffMajor General Li QihuanMilitary unit The Kinmen Defense Command (Chinese: 金門防衛指揮部, abbreviated as: Kinmen Defense Command, team name Taiwu Force) is on...

Longmoor Military Railway

Former military railway in Hampshire, England Hunslet Austerity 0-6-0ST on the Longmoor Military Railway in 1968 LMR 600 Gordon at Longmoor in 1949. The Longmoor Military Railway (LMR) was a British military railway in Hampshire that was built by the Royal Engineers from 1903 to train soldiers on railway construction and operations. The railway ceased operation on 31 October 1969. Route vteLongmoor Military Railway Legend Bordon Light Railwayto Bentley White Hill Road LC Bordon Oakh...

Saint-Maudez

Cet article est une ébauche concernant une commune des Côtes-d'Armor. Vous pouvez partager vos connaissances en l’améliorant (comment ?). Le bandeau {{ébauche}} peut être enlevé et l’article évalué comme étant au stade « Bon début » quand il comporte assez de renseignements encyclopédiques concernant la commune. Si vous avez un doute, l’atelier de lecture du projet Communes de France est à votre disposition pour vous aider. Consultez également la page d’...

莎拉·阿什頓-西里洛

莎拉·阿什頓-西里洛2023年8月，阿什頓-西里洛穿著軍服出生 (1977-07-09) 1977年7月9日（46歲）美國佛羅里達州国籍美國别名莎拉·阿什頓（Sarah Ashton）莎拉·西里洛（Sarah Cirillo）金髮女郎（Blonde）职业記者、活動家、政治活動家和候選人、軍醫活跃时期2020年—雇主內華達州共和黨候選人（2020年）《Political.tips》（2020年—）《LGBTQ國度》（2022年3月—2022年10月）烏克蘭媒�...

North Dakota House of Representatives

Lower house of U.S. state legislature North Dakota House of Representatives67th North Dakota Legislative AssemblyTypeTypeLower house Term limitsTwo four-year termsHistoryNew session startedJanuary 5, 2023LeadershipSpeakerDennis Johnson (R) since December 5, 2022 Majority LeaderMike Lefor (R) since December 5, 2022 Minority LeaderZac Ista (D-NPL) since April 30, 2023 StructureSeats94Political groupsMajority Republican (82) Minority Democratic-NPL (12) Length of term4 yearsAuthori...

Russian entry into World War I

Russian troops in the trenches at the East Prussian frontier. European diplomatic alignments shortly before the war. The Russian Empire's entry into World War I unfolded gradually in the days leading up to July 28, 1914. The sequence of events began with Austria-Hungary's declaration of war on Serbia, a Russian ally. In response, Russia issued an ultimatum to Vienna via Saint Petersburg, warning Austria-Hungary against attacking Serbia. As the conflict escalated with the invasion of Serbia, ...

Pier (architecture)

It has been suggested that Pier (bridge structure) be merged into this article. (Discuss) Proposed since April 2024. Upright support in arches or bridges This article is about the architectural support. For other uses, see Pier (disambiguation). This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Pier architecture – news · n...

2014–15 Big East Conference men's basketball season

This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources.Find sources: 2014–15 Big East Conference men's basketball season – news · newspapers · books · scholar · JSTOR (April 2019) Sports season2014–15 Big East Conference men's basketball seasonLeagueNCAA Division ISportBasketballNumber of teams10TV partner(s)CBS, ...

تصويب منظور الشخص الثالث

لالتقنية التصويرية، طالع لقطة من فوق الكتف. توضيح منظور الشخص الثالث تصويب منظور الشخص الثالث هي نوع إطلاق نار من منظور الشخص الثالث، وهي مشابهة كثيراً للتصويب من منظور الشخص الأول. الاختلاف الرئيسي هو وضع الكاميرا، حيث في المنظور الثالث يمكن مشاهدة جسد اللاعب وما ي...

Rithvik Dhanjani

Rithvik DhanjaniLahir5 November 1988 (umur 35)[1]Madhya Pradesh, IndiaKebangsaanIndianPekerjaanaktor, penariTahun aktif2009 - sekarangSuami/istriAsha Negi (2011-sekarang)[2] Rithvik Dhanjani (lahir 5 November 1988) adalah aktor televisi India. Dia memainkan Arjun Digvijay Kirloskar di Pavitra Rishta.[3] Dhanjani telah menjadi tuan rumah dan berpartisipasi dalam banyak reality show seperti Nach Baliye, Dare 2 Dance, India's Best Dramebaaz dan V Distraction. I...

8001

8000 ← 8001 → 8002素因数分解 32×7×127二進法 1111101000001三進法 101222100四進法 1331001五進法 224001六進法 101013七進法 32220八進法 17501十二進法 4769十六進法 1F41二十進法 1001二十四進法 DL9三十六進法 669ローマ数字 VMMMI漢数字八千一大字八千壱算木 8001（八千一、はっせんいち）は自然数、また整数において、8000の次で8002の前の数である。性質 8001は合成数であり、約数は...

Zdravko Zovko

Croatian handball player (born 1955) Zdravko ZovkoPersonal informationFull name Zdravko ZovkoBorn (1955-05-25) 25 May 1955 (age 69)Gornje Kolibe, PR Bosnia and Herzegovina, FPR YugoslaviaNationality CroatianHeight 1.83 m (6 ft 0 in)Club informationCurrent club Siófok KC (manager)Senior clubsYears Team1972–1986 Medveščak Zagreb1986–1989 C.C. Ortigia SiracusaNational teamYears Team Apps1974–1984 Yugoslavia 119Teams managed1990–1994 Zagreb Loto1993–1995 Cro...