The four-leaf clover is a rare variation of the common three-leaf clover that has four leaflets instead of three. According to traditional sayings, such clovers bring good luck,[1] although it is not clear when or how this idea began. One early mention of "Fower-leafed or purple grasse" is from 1640 and simply says that it was kept in gardens because it was "good for the purples in children or others".[2]
The clover with the most leaves ever found had 63 of them, and was discovered by Yoshiharu Watanabe of Nasushiobara, Japan, on 2 August 2023. The clover was from the species Trifolium repens L., or white clover;[4] beating the previous record, a 56-leaf clover found by Shigeo Obara of Hanamaki, Iwate, Japan, on 10 May 2009.[5][6] Both men obtained clovers with such a number of leafleats through crossbreeding cloverplants with a high rate of clovers with an abnormal number of leaflets, causing that, on average, cloverplants generated clovers with a higher number of leaflets in each generation. Shigeo Obara used the method of natural crossbreeding, while Yoshiharu Watanabe used both natural crossbreeding and manual crossbreeding.[7][8]
As stated, clovers can have more than four leaves. 5-leaf clovers are less commonly found naturally than 4-leaf clovers;[11][12] however, they too have been successfully cultivated.[13] Some 4-leaf clover collectors, particularly in Ireland, regard the 5-leaf clover, known as a rose clover, as a particular prize.[14]
Researchers from the University of Georgia have reported finding the gene that turns ordinary three-leaf clovers into the coveted four-leaf types. Masked by the three-leaf gene and strongly influenced by environmental conditions, molecular markers now make it possible to detect the presence of the gene for four-leaves and for breeders to work with it. The results of the study, which also located two other leaf traits in the white-clover genome, were reported in the July/August 2010 edition of Crop Science, published by the Crop Science Society of America.[16]
The other leaf traits, the red fleck mark and red midrib, a herringbone pattern that streaks down the center of each leaflet in a bold red color, were mapped to nearby locations, resolving a century-old question as to whether these leaf traits were controlled by one gene or two separate genes. White clover has many genes that affect leaf color and shape, and the three in the study were very rare. These traits can be quite attractive, particularly if combined with others, and can turn clover into an ornamental plant for use in flower beds.[17]
There are some cultivars of white clover (Trifolium repens) which regularly produce more than three leaflets, including purple-leaved T. repens "Purpurascens Quadrifolium" and green-leaved T. repens "Quadrifolium".[19] Some clovers have more spade-shaped leaves, rather than the usual rounded ones. This may be a genetic mutation. Some genetic mutations in clovers include spade-like shaped leaves or a dotted rusty color on the leaves. Trifolium repens "Good Luck" is a cultivar which has three, four, or five green, dark-centered leaflets per leaf.[20]
Other plants may be mistaken for, or misleadingly sold as, "4-leaf clovers"; for example, Oxalis tetraphylla is a species of wood sorrel with leaves resembling a 4-leaf clover.[21][22] Other species that have been sold as "4-leaf clovers" include Marsilea quadrifolia.[23][24]
A description from 1869 says that 4-leaf clovers were "gathered at night-time during the full moon by sorceresses, who mixed it with vervain and other ingredients, while young girls in search of a token of perfect happiness made quest of the plant by day."[25] In an 1877 letter to St. Nicholas Magazine, an 11-year-old girl wrote, "Did the fairies ever whisper in your ear, that a 4-leaf clover brought good luck to the finder?"[26]
Starting with Prism 8, Prism allows you to choose which decimal format Prism will use to report P values (information on previous versions of Prism can be found below). Each analysis that computes P values gives you four choices:
The multiple t test analysis is different than all the rest. In earlier versions of the software (Prism 6), the "Significant?" column would display a single asterisk if the t test for that row is statistically significant, given your setting for alpha and the correction for multiple comparisons. Prism would either places a single asterisk in that column or leaves it blank. It would never places more than one asterisk. In this column, current versions of Prism simply write "Yes" or "No" depending on if the test corresponding to that row was found to be statistically significant or not.
The P values shown are examples. It shows one P value presented as ".033", or as "0.033", or as "0.0332" depending on the choice you made (note the difference in the number of digits and presence or absence of a leading zero). Some people have misunderstood this to mean that we define a single asterisk to mean P
Up to three asterisks, this is fairly standard, but not completely, so you ought to state the scale in your figure legends or methods section. Four asterisks for tiny P values is not entirely standard.
Prism makes the decision on whether to display an asterisk (and how many asterisk to show) based on the full P value it computes in double precision (about 12 digits of precision), not the P value you see displayed. So if the P value is actually 0.0500001, Prism will display "0.0500" and label that comparison as "ns".
A time signature (also known as meter signature,[1] metre signature,[2] and measure signature)[3] is a convention in Western music notation that specifies how many note values of a particular type are contained in each measure (bar). The time signature indicates the meter of a musical movement at the bar level.
Irregular meters are common in some non-Western music, and in ancient Greek music such as the Delphic Hymns to Apollo, but the corresponding time signatures rarely appeared in formal written Western music until the 19th century. Early anomalous examples appeared in Spain between 1516 and 1520,[9] plus a small section in Handel's opera Orlando (1733).
In the Western popular music tradition, unusual time signatures occur as well, with progressive rock in particular making frequent use of them. The use of shifting meters in The Beatles' "Strawberry Fields Forever" and the use of quintuple meter in their "Within You, Without You" are well-known examples,[11] as is Radiohead's "Paranoid Android" (includes 7
8).[12]
However, such time signatures are only unusual in most Western music. Traditional music of the Balkans uses such meters extensively. Bulgarian dances, for example, include forms with 5, 7, 9, 11, 13, 15, 22, 25 and other numbers of beats per measure. These rhythms are notated as additive rhythms based on simple units, usually 2, 3 and 4 beats, though the notation fails to describe the metric "time bending" taking place, or compound meters. See Additive meters below.
While time signatures usually express a regular pattern of beat stresses continuing through a piece (or at least a section), sometimes composers change time signatures often enough to result in music with an extremely irregular rhythm. The time signature may switch so much that a piece may not be best described as being in one meter, but rather as having a switching mixed meter. In this case, the time signatures are an aid to the performers and not necessarily an indication of meter. The Promenade from Modest Mussorgsky's Pictures at an Exhibition (1874) is a good example. The opening measures are shown below:
In such cases, a convention that some composers follow (e.g., Olivier Messiaen, in his La Nativit du Seigneur and Quatuor pour la fin du temps) is to simply omit the time signature. Charles Ives's Concord Sonata has measure bars for select passages, but the majority of the work is unbarred.
Some pieces have no time signature, as there is no discernible meter. This is sometimes known as free time. Sometimes one is provided (usually 4
4) so that the performer finds the piece easier to read, and simply has "free time" written as a direction. Sometimes the word FREE is written downwards on the staff to indicate the piece is in free time. Erik Satie wrote many compositions that are ostensibly in free time but actually follow an unstated and unchanging simple time signature. Later composers used this device more effectively, writing music almost devoid of a discernibly regular pulse.
To indicate more complex patterns of stresses, such as additive rhythms, more complex time signatures can be used. Additive meters have a pattern of beats that subdivide into smaller, irregular groups. Such meters are sometimes called imperfect, in contrast to perfect meters, in which the bar is first divided into equal units.[14]
Brăiloiu borrowed a term from Turkish medieval music theory: aksak. Such compound time signatures fall under the "aksak rhythm" category that he introduced along with a couple more that should describe the rhythm figures in traditional music.[17] The term Brăiloiu revived had moderate success worldwide, but in Eastern Europe it is still frequently used. However, aksak rhythm figures occur not only in a few European countries, but on all continents, featuring various combinations of the two and three sequences. The longest are in Bulgaria. The shortest aksak rhythm figures follow the five-beat timing, comprising a two and a three (or three and two).
A method to create meters of lengths of any length has been published in the Journal of Anaphoria Music Theory[18] and Xenharmonikon 16[19] using both those based on the Horograms of Erv Wilson and Viggo Brun's algorithm written by Kraig Grady.
According to Brian Ferneyhough, metric modulation is "a somewhat distant analogy" to his own use of "irrational time signatures" as a sort of rhythmic dissonance.[20] It is disputed whether the use of these signatures makes metric relationships clearer or more obscure to the musician; it is always possible to write a passage using non-irrational signatures by specifying a relationship between some note length in the previous bar and some other in the succeeding one. Sometimes, successive metric relationships between bars are so convoluted that the pure use of irrational signatures would quickly render the notation extremely hard to penetrate. Good examples, written entirely in conventional signatures with the aid of between-bar specified metric relationships, occur a number of times in John Adams' opera Nixon in China (1987), where the sole use of irrational signatures would quickly produce massive numerators and denominators.[citation needed]
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